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131596985 = 51343197239
BaseRepresentation
bin1111101100000…
…00001010111001
3100011121211010102
413312000022321
5232142100420
621020325145
73155361452
oct766001271
9304554112
10131596985
1168312843
12380a37b5
1321357650
1413698129
15b846a75
hex7d802b9

131596985 has 32 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 94042368.

The previous prime is 131596973. The next prime is 131596987. The reversal of 131596985 is 589695131.

It is a cyclic number.

It is not a de Polignac number, because 131596985 - 212 = 131592889 is a prime.

It is a super-2 number, since 2×1315969852 = 34635532922180450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (131596987) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 550496 + ... + 550734.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2131596985 is an apocalyptic number.

It is an amenable number.

131596985 is a deficient number, since it is larger than the sum of its proper divisors (44036935).

131596985 is a wasteful number, since it uses less digits than its factorization.

131596985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497.

The product of its digits is 291600, while the sum is 47.

The square root of 131596985 is about 11471.5729087166. The cubic root of 131596985 is about 508.6456247030.

The spelling of 131596985 in words is "one hundred thirty-one million, five hundred ninety-six thousand, nine hundred eighty-five".

Divisors: 1 5 13 43 65 197 215 239 559 985 1195 2561 2795 3107 8471 10277 12805 15535 42355 47083 51385 110123 133601 235415 550615 612079 668005 2024569 3060395 10122845 26319397 131596985