113 (number)

113 (number)
113
Cardinal one hundred [and] thirteen
Ordinal 113th
(one hundred [and] thirteenth)
Factorization prime
Prime 30th
Divisors 1, 113
Roman numeral CXIII
Binary 11100012
Octal 1618
Duodecimal 9512
Hexadecimal 7116

113 (one hundred [and] thirteen) is the natural number following 112 and preceding 114.

Contents

In mathematics

One hundred [and] thirteen is the 30th prime number, following 109 and preceding 127, a Sophie Germain prime, a Chen prime and a Proth prime as it is a prime number of the form 7 × 24 + 1. 113 is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. In base 10, this prime is a primeval number, and a permutable prime with 131 and 311.

It is a highly cototient number and a centered square number. 355/113 approximates pi to seven decimal places, with an error of less than 1/1133.

In telephony

Other Fields

One hundred [and] thirteen is also:

See also

References


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