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313051137 = 37234315073
BaseRepresentation
bin10010101010001…
…100100000000001
3210211001122102120
4102222030200001
51120120114022
651021434453
710520614350
oct2252144001
9724048376
10313051137
11150788a53
1288a0ba29
134cb1a379
142d80d997
151c73ad5c
hex12a8c801

313051137 has 32 divisors (see below), whose sum is σ = 509380608. Its totient is φ = 167118336.

The previous prime is 313051121. The next prime is 313051153. The reversal of 313051137 is 731150313.

It is an interprime number because it is at equal distance from previous prime (313051121) and next prime (313051153).

It is not a de Polignac number, because 313051137 - 24 = 313051121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313051187) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13233 + ... + 28305.

It is an arithmetic number, because the mean of its divisors is an integer number (15918144).

Almost surely, 2313051137 is an apocalyptic number.

It is an amenable number.

313051137 is a deficient number, since it is larger than the sum of its proper divisors (196329471).

313051137 is a wasteful number, since it uses less digits than its factorization.

313051137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15149.

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 313051137 is about 17693.2511709974. The cubic root of 313051137 is about 679.0031074462.

The spelling of 313051137 in words is "three hundred thirteen million, fifty-one thousand, one hundred thirty-seven".

Divisors: 1 3 7 21 23 43 69 129 161 301 483 903 989 2967 6923 15073 20769 45219 105511 316533 346679 648139 1040037 1944417 2426753 4536973 7280259 13610919 14907197 44721591 104350379 313051137