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131086341 = 3214565149
BaseRepresentation
bin1111101000000…
…11100000000101
3100010122212122200
413310003200011
5232024230331
621001345113
73151133631
oct764034005
9303585580
10131086341
1167aa4121
1237a98199
13212090a9
14135a3dc1
15b7955e6
hex7d03805

131086341 has 6 divisors (see below), whose sum is σ = 189346950. Its totient is φ = 87390888.

The previous prime is 131086283. The next prime is 131086357. The reversal of 131086341 is 143680131.

131086341 is a `hidden beast` number, since 1 + 310 + 8 + 6 + 341 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126900225 + 4186116 = 11265^2 + 2046^2 .

It is not a de Polignac number, because 131086341 - 27 = 131086213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131086391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7282566 + ... + 7282583.

It is an arithmetic number, because the mean of its divisors is an integer number (31557825).

Almost surely, 2131086341 is an apocalyptic number.

It is an amenable number.

131086341 is a deficient number, since it is larger than the sum of its proper divisors (58260609).

131086341 is a wasteful number, since it uses less digits than its factorization.

131086341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14565155 (or 14565152 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131086341 is about 11449.2943450677. The cubic root of 131086341 is about 507.9868620923.

The spelling of 131086341 in words is "one hundred thirty-one million, eighty-six thousand, three hundred forty-one".

Divisors: 1 3 9 14565149 43695447 131086341