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131661315 = 3352342403
BaseRepresentation
bin1111101100011…
…11111000000011
3100011202002101000
413312033320003
5232201130230
621021543043
73156050142
oct766177003
9304662330
10131661315
1168357105
1238114a83
132137aa06
14136b3759
15b85ab60
hex7d8fe03

131661315 has 32 divisors (see below), whose sum is σ = 244247040. Its totient is φ = 67164768.

The previous prime is 131661263. The next prime is 131661337. The reversal of 131661315 is 513166131.

131661315 is a `hidden beast` number, since 1 + 31 + 6 + 613 + 15 = 666.

It is not a de Polignac number, because 131661315 - 26 = 131661251 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18097 + ... + 24306.

It is an arithmetic number, because the mean of its divisors is an integer number (7632720).

Almost surely, 2131661315 is an apocalyptic number.

131661315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131661315 is a deficient number, since it is larger than the sum of its proper divisors (112585725).

131661315 is a wasteful number, since it uses less digits than its factorization.

131661315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42440 (or 42434 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 131661315 is about 11474.3764536466. The cubic root of 131661315 is about 508.7284934776.

The spelling of 131661315 in words is "one hundred thirty-one million, six hundred sixty-one thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 23 27 45 69 115 135 207 345 621 1035 3105 42403 127209 212015 381627 636045 975269 1144881 1908135 2925807 4876345 5724405 8777421 14629035 26332263 43887105 131661315