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157157313 = 31015091019
BaseRepresentation
bin10010101111000…
…00011111000001
3101221201102022020
421113200133001
5310213013223
623332232053
73615546405
oct1127403701
9357642266
10157157313
1180790685
124476b629
13267368c1
1416c2d105
15dbe51e3
hex95e07c1

157157313 has 16 divisors (see below), whose sum is σ = 212241600. Its totient is φ = 103428800.

The previous prime is 157157311. The next prime is 157157323. The reversal of 157157313 is 313751751.

It is not a de Polignac number, because 157157313 - 21 = 157157311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157157311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153718 + ... + 154736.

It is an arithmetic number, because the mean of its divisors is an integer number (13265100).

Almost surely, 2157157313 is an apocalyptic number.

It is an amenable number.

157157313 is a deficient number, since it is larger than the sum of its proper divisors (55084287).

157157313 is a wasteful number, since it uses less digits than its factorization.

157157313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632.

The product of its digits is 11025, while the sum is 33.

The square root of 157157313 is about 12536.2399865350. The cubic root of 157157313 is about 539.6491925886.

The spelling of 157157313 in words is "one hundred fifty-seven million, one hundred fifty-seven thousand, three hundred thirteen".

Divisors: 1 3 101 303 509 1019 1527 3057 51409 102919 154227 308757 518671 1556013 52385771 157157313