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131137971 = 329251977
BaseRepresentation
bin1111101000100…
…00000110110011
3100010202111110220
413310100012303
5232032403341
621002424123
73151440306
oct764200663
9303674426
10131137971
1168029998
1237b02043
1321226743
14135b8b3d
15b7a5a66
hex7d101b3

131137971 has 12 divisors (see below), whose sum is σ = 181091352. Its totient is φ = 84409024.

The previous prime is 131137957. The next prime is 131137991. The reversal of 131137971 is 179731131.

It is not a de Polignac number, because 131137971 - 215 = 131105203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131137931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23466 + ... + 28511.

It is an arithmetic number, because the mean of its divisors is an integer number (15090946).

Almost surely, 2131137971 is an apocalyptic number.

131137971 is a deficient number, since it is larger than the sum of its proper divisors (49953381).

131137971 is an equidigital number, since it uses as much as digits as its factorization.

131137971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52038 (or 52009 counting only the distinct ones).

The product of its digits is 3969, while the sum is 33.

The square root of 131137971 is about 11451.5488472084. The cubic root of 131137971 is about 508.0535456713.

The spelling of 131137971 in words is "one hundred thirty-one million, one hundred thirty-seven thousand, nine hundred seventy-one".

Divisors: 1 3 29 87 841 2523 51977 155931 1507333 4521999 43712657 131137971