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131045096 = 23713180007
BaseRepresentation
bin1111100111110…
…01011011101000
3100010120210002002
413303321123220
5232021420341
621000430132
73150602450
oct763713350
9303523062
10131045096
1167a76136
1237a78348
13211c33a0
1413592d60
15b78829b
hex7cf96e8

131045096 has 32 divisors (see below), whose sum is σ = 302413440. Its totient is φ = 51841728.

The previous prime is 131045093. The next prime is 131045107. The reversal of 131045096 is 690540131.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131045093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89276 + ... + 90731.

It is an arithmetic number, because the mean of its divisors is an integer number (9450420).

Almost surely, 2131045096 is an apocalyptic number.

It is an amenable number.

131045096 is an abundant number, since it is smaller than the sum of its proper divisors (171368344).

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

131045096 is a wasteful number, since it uses less digits than its factorization.

131045096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180033 (or 180029 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 131045096 is about 11447.4930006530. The cubic root of 131045096 is about 507.9335788496.

The spelling of 131045096 in words is "one hundred thirty-one million, forty-five thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 180007 360014 720028 1260049 1440056 2340091 2520098 4680182 5040196 9360364 10080392 16380637 18720728 32761274 65522548 131045096