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131517297 = 3319256369
BaseRepresentation
bin1111101011011…
…00101101110001
3100011110202211000
413311230231301
5232132023142
621014512213
73154610232
oct765545561
9304422730
10131517297
116826898a
1238065669
132132a2b2
1413677089
15b82d14c
hex7d6cb71

131517297 has 16 divisors (see below), whose sum is σ = 205096000. Its totient is φ = 83063232.

The previous prime is 131517293. The next prime is 131517317. The reversal of 131517297 is 792715131.

131517297 is a `hidden beast` number, since 131 + 517 + 2 + 9 + 7 = 666.

It is not a de Polignac number, because 131517297 - 22 = 131517293 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131517293) 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 15 ways as a sum of consecutive naturals, for example, 127672 + ... + 128697.

It is an arithmetic number, because the mean of its divisors is an integer number (12818500).

Almost surely, 2131517297 is an apocalyptic number.

It is an amenable number.

131517297 is a deficient number, since it is larger than the sum of its proper divisors (73578703).

131517297 is a wasteful number, since it uses less digits than its factorization.

131517297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256397 (or 256391 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 131517297 is about 11468.0991014204. The cubic root of 131517297 is about 508.5429345671.

The spelling of 131517297 in words is "one hundred thirty-one million, five hundred seventeen thousand, two hundred ninety-seven".

Divisors: 1 3 9 19 27 57 171 513 256369 769107 2307321 4871011 6921963 14613033 43839099 131517297