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131966181 = 3214662909
BaseRepresentation
bin1111101110110…
…10010011100101
3100012022120120100
413313122103211
5232240404211
621032254313
73161460024
oct767322345
9305276510
10131966181
1168545166
1238241399
13214566c9
14137528bb
15b8bb156
hex7dda4e5

131966181 has 6 divisors (see below), whose sum is σ = 190617830. Its totient is φ = 87977448.

The previous prime is 131966179. The next prime is 131966201. The reversal of 131966181 is 181669131.

It is a happy number.

131966181 is a `hidden beast` number, since 1 + 31 + 9 + 6 + 618 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131469156 + 497025 = 11466^2 + 705^2 .

It is not a de Polignac number, because 131966181 - 21 = 131966179 is a prime.

It is a super-2 number, since 2×1319661812 = 34830145855449522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131966141) 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 5 ways as a sum of consecutive naturals, for example, 7331446 + ... + 7331463.

Almost surely, 2131966181 is an apocalyptic number.

It is an amenable number.

131966181 is a deficient number, since it is larger than the sum of its proper divisors (58651649).

131966181 is a wasteful number, since it uses less digits than its factorization.

131966181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14662915 (or 14662912 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 131966181 is about 11487.6534157329. The cubic root of 131966181 is about 509.1208498460.

The spelling of 131966181 in words is "one hundred thirty-one million, nine hundred sixty-six thousand, one hundred eighty-one".

Divisors: 1 3 9 14662909 43988727 131966181