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131086215 = 33513113661
BaseRepresentation
bin1111101000000…
…11011110000111
3100010122212111000
413310003132013
5232024224330
621001344343
73151133361
oct764033607
9303585430
10131086215
1167aa4017
1237a980b3
1321209010
14135a3d31
15b795560
hex7d03787

131086215 has 64 divisors (see below), whose sum is σ = 253572480. Its totient is φ = 63866880.

The previous prime is 131086213. The next prime is 131086229. The reversal of 131086215 is 512680131.

131086215 is a `hidden beast` number, since 1 + 31 + 0 + 8 + 621 + 5 = 666.

It is not a de Polignac number, because 131086215 - 21 = 131086213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131086211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197985 + ... + 198645.

It is an arithmetic number, because the mean of its divisors is an integer number (3962070).

Almost surely, 2131086215 is an apocalyptic number.

131086215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131086215 is a deficient number, since it is larger than the sum of its proper divisors (122486265).

131086215 is a wasteful number, since it uses less digits than its factorization.

131086215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 131086215 is about 11449.2888425439. The cubic root of 131086215 is about 507.9866993335.

The spelling of 131086215 in words is "one hundred thirty-one million, eighty-six thousand, two hundred fifteen".

Divisors: 1 3 5 9 13 15 27 39 45 65 113 117 135 195 339 351 565 585 661 1017 1469 1695 1755 1983 3051 3305 4407 5085 5949 7345 8593 9915 13221 15255 17847 22035 25779 29745 39663 42965 66105 74693 77337 89235 128895 198315 224079 232011 373465 386685 672237 971009 1120395 1160055 2016711 2913027 3361185 4855045 8739081 10083555 14565135 26217243 43695405 131086215