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31136157 = 341329569
BaseRepresentation
bin111011011000…
…1100110011101
32011120212210000
41312301212131
530432324112
63031204513
7525436653
oct166614635
964525700
1031136157
1116637068
12a516739
1365b2180
1441c6dd3
152b007dc
hex1db199d

31136157 has 20 divisors (see below), whose sum is σ = 50091580. Its totient is φ = 19160064.

The previous prime is 31136153. The next prime is 31136201. The reversal of 31136157 is 75163113.

31136157 is a `hidden beast` number, since 31 + 13 + 615 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10150596 + 20985561 = 3186^2 + 4581^2 .

It is not a de Polignac number, because 31136157 - 22 = 31136153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31136157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31136153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13732 + ... + 15837.

It is an arithmetic number, because the mean of its divisors is an integer number (2504579).

Almost surely, 231136157 is an apocalyptic number.

It is an amenable number.

31136157 is a deficient number, since it is larger than the sum of its proper divisors (18955423).

31136157 is a wasteful number, since it uses less digits than its factorization.

31136157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29594 (or 29585 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 31136157 is about 5579.9782257640. The cubic root of 31136157 is about 314.5973085537.

The spelling of 31136157 in words is "thirty-one million, one hundred thirty-six thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 27 39 81 117 351 1053 29569 88707 266121 384397 798363 1153191 2395089 3459573 10378719 31136157