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131088933 = 3271271757
BaseRepresentation
bin1111101000001…
…00001000100101
3100010200000012200
413310010020211
5232024321213
621001405113
73151144323
oct764041045
9303600180
10131088933
1167aa6068
1237a99799
132120a321
14135a4d13
15b796273
hex7d04225

131088933 has 24 divisors (see below), whose sum is σ = 192980736. Its totient is φ = 85730400.

The previous prime is 131088929. The next prime is 131088967. The reversal of 131088933 is 339880131.

It is not a de Polignac number, because 131088933 - 22 = 131088929 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131088833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172791 + ... + 173547.

It is an arithmetic number, because the mean of its divisors is an integer number (8040864).

Almost surely, 2131088933 is an apocalyptic number.

It is an amenable number.

131088933 is a deficient number, since it is larger than the sum of its proper divisors (61891803).

131088933 is a wasteful number, since it uses less digits than its factorization.

131088933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 131088933 is about 11449.4075392572. The cubic root of 131088933 is about 507.9902102501.

The spelling of 131088933 in words is "one hundred thirty-one million, eighty-eight thousand, nine hundred thirty-three".

Divisors: 1 3 9 71 213 271 639 757 813 2271 2439 6813 19241 53747 57723 161241 173169 205147 483723 615441 1846323 14565437 43696311 131088933