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131961915 = 3252932487
BaseRepresentation
bin1111101110110…
…01010000111011
3100012022100201100
413313121100323
5232240240130
621032222443
73161441421
oct767312073
9305270640
10131961915
1168541a38
123823aa23
1321454797
1413751111
15b8b9c60
hex7dd943b

131961915 has 12 divisors (see below), whose sum is σ = 228734064. Its totient is φ = 70379664.

The previous prime is 131961913. The next prime is 131961917. The reversal of 131961915 is 519169131.

It is a happy number.

131961915 is a `hidden beast` number, since 1 + 31 + 9 + 619 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (131961913) and next prime (131961917).

It is not a de Polignac number, because 131961915 - 21 = 131961913 is a prime.

It is a super-3 number, since 3×1319619153 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131961915.

It is not an unprimeable number, because it can be changed into a prime (131961913) 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 11 ways as a sum of consecutive naturals, for example, 1466199 + ... + 1466288.

It is an arithmetic number, because the mean of its divisors is an integer number (19061172).

Almost surely, 2131961915 is an apocalyptic number.

131961915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131961915 is a deficient number, since it is larger than the sum of its proper divisors (96772149).

131961915 is a wasteful number, since it uses less digits than its factorization.

131961915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932498 (or 2932495 counting only the distinct ones).

The product of its digits is 7290, while the sum is 36.

The square root of 131961915 is about 11487.4677366250. The cubic root of 131961915 is about 509.1153637613.

The spelling of 131961915 in words is "one hundred thirty-one million, nine hundred sixty-one thousand, nine hundred fifteen".

Divisors: 1 3 5 9 15 45 2932487 8797461 14662435 26392383 43987305 131961915