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2013

Number 2013 is an odd four-digits composite number and natural number following 2012 and preceding 2014.

Properties of the number 2013

Nominal2013
Cardinaltwo thousand thirteen
Cardinal
two thousand thirteen
Ordinal2,013th
Number of digits4
Sum of digits6
Product of digits0
Number parityOdd
Calculation was done in 0.0000350475 seconds

Prime Factorization of 2013

Prime factorization3 x 11 x 61
Prime factors3, 11, 61
Number of distinct prime factors ω(n)3
Total number of prime factors Ω(n)3
Sum of prime factors75
Product of prime factors2013
Calculation was done in 0.0000090599 seconds

Divisors of 2013

List of proper divisors 1, 3, 11, 33, 61, 183, 671
List of all dividers1, 3, 11, 33, 61, 183, 671, 2013
Number of divisors d(n)8
Sum of all divisors σ(n)2976
Aliquot sum 963
2013 is a deficient number , since it is larger than the sum of its proper divisors (963). Its deficiency is 1050.
Calculation was done in 0.0000159740 seconds

Prime numbers

Is 2013 a prime number?No
Is 2013 a semiprime number?No
Is 2013 a Chen prime number?No
Is 2013 a Mersenne prime number?No
Calculation was done in 0.0004367828 seconds

Sequences

Is 2013 a Catalan number?No
Is 2013 a Fibonacci number?No
Is 2013 a Idoneal number?No
Calculation was done in 0.0000038147 seconds

Number theory

Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions.
2013 is not a Happy number
2013 is not a Humble number
2013 is not a Münchhausen number
2013 is not a Perfect number
2013 is not a Perfect square
2013 is not a Palindrome
Calculation was done in 0.0073950291 seconds

Numeric Bases of 2013

In mathematics, a base or radix of a numeral system is the number of unique digits, including zero, used to represent numbers in that system.
BaseSystemValue
2Binary111110111012
3Ternary22021203
4Quaternary1331314
5Quinary310235
6Senary131536
7Septenary56047
8Octal37358
9Nonary26769
10Decimal2013
12Duodecimal11b912
16Hexadecimal7dd16
20Vigesimal50d20
36Base361jx36
60SexagesimalXX60
Calculation was done in 0.0000188351 seconds

Mathematical operations

Mathematical operations are actions that are performed on numbers or mathematical expressions to find a numerical result.
Square of 2013 (n2)4052169
Cube of 2013 (n3)8157016197
Square root of 201344.866468548349
Natural Logarithm (ln) of 20137.6073814256398
Decimal Logarithm (log) of 20133.3038437748887
Calculation was done in 0.0000040531 seconds

Trigonometry

Trigonometry is the study of the relationship between the angles and sides of a triangle.
Sine of 20130.68956696500461
Cosecant of 20131.4501854798008
Cosine of 2013-0.72422192784694
Secant of 2013-1.3807922151335
Tangent of 2013-0.95214869709158
Cotangent of 2013-1.050256123917
Calculation was done in 0.0000109673 seconds

Number parity

Parity is the property of an integer of whether it is even or odd.

Is 2013 an Even Number?

No

Is 2013 an Odd Number?

Yes, the number 2013 is an odd number.
Total number of all odd numbers from 1 to 2013 is 1007
Sum of all the odd numbers from 1 to 2013 are 1014049
The sum of all odd numbers is a perfect square: 1014049 = 1007
An odd number is any integer (a whole number) that cannot be divided by 2 evenly. Odd numbers are the opposite of even numbers.
Calculation was done in 0.0000061989 seconds

Ban number

In recreational mathematics, a ban number is a number that does not contain a particular letter when spelled out in English; in other words, the letter is "banned".
The spelling of 2013 in words is "two thousand thirteen", meaning that:
2013 is not an aban number (as it contains the letter a)
2013 is not an eban number (as it contains the letter e)
2013 is not an iban number (as it contains the letter i)
2013 is not an oban number (as it contains the letter o)
2013 is not a tban number (as it contains the letter t)
2013 is not an uban number (as it contains the letter u)
Calculation was done in 0.0000028610 seconds

Numeral systems

How to write 2013 in other number systems?
Bengali numerals২০১৩
Eastern Arabic numerals٢٬٠١٣
Hieroglyphs numeralsused in Ancient Egypt𓆼𓆼𓎆𓏼
Khmer numerals២០១៣
Japanese numerals二千十三
Roman numeralsMMXIII
Thai numerals๒๐๑๓
Calculation was done in 0.0000650883 seconds

Translation

How do you say 2013 in 38 different languages?
Arabicألفين و ثلاثة عشر
Croatiandvije tisuće trinaest
Czechdvě tisíce třináct
Danish to tusinde tretten
Dutchtweeduizend dertien
Estonianakpe eve kple wuietɔ̃
Faroesetvey tusin og trettan
Filipinodalawáng libó’t labíng-tatló
Finnishkaksi­tuhatta­kolmetoista
Frenchdeux mille treize
Greekδύο χίλιάδες δεκα­τρία
Germanzwei­tausend­dreizehn
Hebrewאלפיים ושלוש עשרה
Hindiदो हज़ार तेरह
Hungariankét­ezer­tizen­három
Icelandictvö þúsund og þrettán
Indonesiandua ribu tiga belas
Italianduemilatredici
Japanese二千十三
Korean이천십삼
Latviandivtūkstoš trīspadsmit
Lithuaniandu tūkstančiai trylika
Norwegianto tusen og tretten
Persianدو هزار و سیزده
Polishdwa tysiące trzynaście
Portuguesedois mil e treze
Romaniandouă mii treisprezece
Russianдве тысячи тринадцать
Serbianдве хиљада тринаест
Slovakdve tisíc trinásť
Slovenedvije tisuće trinajst
Spanish dos mil trece
Swahilielfu mbili, kumi na tatu
Swedishtvåtusentretton
Thaiสอง​พัน​สิบ​สาม
Turkishiki bin on üç
Ukrainianдві тисячі тринадцять
Vietnamesehai nghìn không trăm mười ba
Calculation was done in 0.0136170387 seconds

Miscellaneous

Number 2013 reversed3102
Unicode CharacterU+07DDߝ
Unix TimestampThu, 01 Jan 1970 00:33:33 +0000
Calculation was done in 0.0000231266 seconds
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