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131165316 = 22323643481
BaseRepresentation
bin1111101000101…
…10110010000100
3100010210212222200
413310112302010
5232034242231
621003154500
73151613112
oct764266204
9303725880
10131165316
1168048497
1237b15a30
1321236019
14135c4ab2
15b7adbe6
hex7d16c84

131165316 has 18 divisors (see below), whose sum is σ = 331556862. Its totient is φ = 43721760.

The previous prime is 131165299. The next prime is 131165323. The reversal of 131165316 is 613561131.

131165316 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 653 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128731716 + 2433600 = 11346^2 + 1560^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 131165316.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1821705 + ... + 1821776.

Almost surely, 2131165316 is an apocalyptic number.

It is an amenable number.

131165316 is an abundant number, since it is smaller than the sum of its proper divisors (200391546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131165316 is a wasteful number, since it uses less digits than its factorization.

131165316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3643491 (or 3643486 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 131165316 is about 11452.7427282726. The cubic root of 131165316 is about 508.0888564679.

The spelling of 131165316 in words is "one hundred thirty-one million, one hundred sixty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3643481 7286962 10930443 14573924 21860886 32791329 43721772 65582658 131165316