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131161131 = 3236374007
BaseRepresentation
bin1111101000101…
…01110000101011
3100010210200020200
413310111300223
5232034124011
621003123243
73151564653
oct764256053
9303720220
10131161131
1168045332
1237b13523
132123414a
14135c3363
15b7ac856
hex7d15c2b

131161131 has 12 divisors (see below), whose sum is σ = 189554352. Its totient is φ = 87394896.

The previous prime is 131161109. The next prime is 131161133.

131161131 is a `hidden beast` number, since 13 + 11 + 611 + 31 = 666.

131161131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131161131 - 27 = 131161003 is a prime.

It is a super-2 number, since 2×1311611312 = 34406484570398322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131161133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30730 + ... + 34736.

It is an arithmetic number, because the mean of its divisors is an integer number (15796196).

Almost surely, 2131161131 is an apocalyptic number.

131161131 is a deficient number, since it is larger than the sum of its proper divisors (58393221).

131161131 is a wasteful number, since it uses less digits than its factorization.

131161131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650 (or 7647 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

The square root of 131161131 is about 11452.5600194891. The cubic root of 131161131 is about 508.0834526652.

The spelling of 131161131 in words is "one hundred thirty-one million, one hundred sixty-one thousand, one hundred thirty-one".

Divisors: 1 3 9 3637 4007 10911 12021 32733 36063 14573459 43720377 131161131