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131130975 = 3524214153
BaseRepresentation
bin1111101000011…
…10011001011111
3100010202010212210
413310032121133
5232032142400
621002331503
73151411023
oct764163137
9303663783
10131130975
1168024708
1237ab9b93
13212234c1
14135b6383
15b7a3950
hex7d0e65f

131130975 has 24 divisors (see below), whose sum is σ = 217370512. Its totient is φ = 69753600.

The previous prime is 131130959. The next prime is 131130977. The reversal of 131130975 is 579031131.

It is a happy number.

It is not a de Polignac number, because 131130975 - 24 = 131130959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131130977) 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 23 ways as a sum of consecutive naturals, for example, 29499 + ... + 33651.

Almost surely, 2131130975 is an apocalyptic number.

131130975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131130975 is a deficient number, since it is larger than the sum of its proper divisors (86239537).

131130975 is a wasteful number, since it uses less digits than its factorization.

131130975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 131130975 is about 11451.2433822708. The cubic root of 131130975 is about 508.0445108972.

The spelling of 131130975 in words is "one hundred thirty-one million, one hundred thirty thousand, nine hundred seventy-five".

Divisors: 1 3 5 15 25 75 421 1263 2105 4153 6315 10525 12459 20765 31575 62295 103825 311475 1748413 5245239 8742065 26226195 43710325 131130975