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131053585 = 5132315003
BaseRepresentation
bin1111100111110…
…11100000010001
3100010121012201111
413303323200101
5232022203320
621000533321
73150636265
oct763734021
9303535644
10131053585
1167a81553
1237a81241
13211c7200
14135960a5
15b78aa5a
hex7cfb811

131053585 has 24 divisors (see below), whose sum is σ = 175820544. Its totient is φ = 93637440.

The previous prime is 131053567. The next prime is 131053591. The reversal of 131053585 is 585350131.

It is not a de Polignac number, because 131053585 - 25 = 131053553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23694 + ... + 28696.

It is an arithmetic number, because the mean of its divisors is an integer number (7325856).

Almost surely, 2131053585 is an apocalyptic number.

It is an amenable number.

131053585 is a deficient number, since it is larger than the sum of its proper divisors (44766959).

131053585 is a wasteful number, since it uses less digits than its factorization.

131053585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 131053585 is about 11447.8637745214. The cubic root of 131053585 is about 507.9445464610.

The spelling of 131053585 in words is "one hundred thirty-one million, fifty-three thousand, five hundred eighty-five".

Divisors: 1 5 13 31 65 155 169 403 845 2015 5003 5239 25015 26195 65039 155093 325195 775465 845507 2016209 4227535 10081045 26210717 131053585