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131957265 = 3511799741
BaseRepresentation
bin1111101110110…
…00001000010001
3100012022010100010
413313120020101
5232240113030
621032145133
73161422026
oct767301021
9305263303
10131957265
11685394a0
12382381a9
132145262b
141374d54d
15b8b86b0
hex7dd8211

131957265 has 16 divisors (see below), whose sum is σ = 230325696. Its totient is φ = 63979200.

The previous prime is 131957257. The next prime is 131957269. The reversal of 131957265 is 562759131.

It is not a de Polignac number, because 131957265 - 23 = 131957257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131957269) 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 15 ways as a sum of consecutive naturals, for example, 399706 + ... + 400035.

It is an arithmetic number, because the mean of its divisors is an integer number (14395356).

Almost surely, 2131957265 is an apocalyptic number.

131957265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131957265 is a deficient number, since it is larger than the sum of its proper divisors (98368431).

131957265 is a wasteful number, since it uses less digits than its factorization.

131957265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799760.

The product of its digits is 56700, while the sum is 39.

The square root of 131957265 is about 11487.2653403671. The cubic root of 131957265 is about 509.1093837171.

The spelling of 131957265 in words is "one hundred thirty-one million, nine hundred fifty-seven thousand, two hundred sixty-five".

Divisors: 1 3 5 11 15 33 55 165 799741 2399223 3998705 8797151 11996115 26391453 43985755 131957265