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131820957 = 3233134421
BaseRepresentation
bin1111101101101…
…10110110011101
3100012001012100200
413312312312131
5232221232312
621025214113
73160313442
oct766666635
9305035320
10131820957
1168456044
1238191339
1321405588
14137159c9
15b88d0dc
hex7db6d9d

131820957 has 12 divisors (see below), whose sum is σ = 190508604. Its totient is φ = 87834240.

The previous prime is 131820937. The next prime is 131820961. The reversal of 131820957 is 759028131.

It can be written as a sum of positive squares in 2 ways, for example, as 116186841 + 15634116 = 10779^2 + 3954^2 .

It is not a de Polignac number, because 131820957 - 211 = 131818909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131820937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27607 + ... + 32027.

It is an arithmetic number, because the mean of its divisors is an integer number (15875717).

Almost surely, 2131820957 is an apocalyptic number.

It is an amenable number.

131820957 is a deficient number, since it is larger than the sum of its proper divisors (58687647).

131820957 is a wasteful number, since it uses less digits than its factorization.

131820957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7740 (or 7737 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131820957 is about 11481.3308026552. The cubic root of 131820957 is about 508.9340249493.

The spelling of 131820957 in words is "one hundred thirty-one million, eight hundred twenty thousand, nine hundred fifty-seven".

Divisors: 1 3 9 3313 4421 9939 13263 29817 39789 14646773 43940319 131820957