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131082337 is a prime number
BaseRepresentation
bin1111101000000…
…10100001100001
3100010122200011101
413310002201201
5232024113322
621001314401
73151116151
oct764024141
9303580141
10131082337
1167aa1111
1237a95a01
1321207319
14135a2761
15b794327
hex7d02861

131082337 has 2 divisors, whose sum is σ = 131082338. Its totient is φ = 131082336.

The previous prime is 131082331. The next prime is 131082403. The reversal of 131082337 is 733280131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104775696 + 26306641 = 10236^2 + 5129^2 .

It is a cyclic number.

It is not a de Polignac number, because 131082337 - 219 = 130558049 is a prime.

It is a pancake number, because a pancake can be divided into 131082337 parts by 16191 straight cuts.

It is equal to p7436134 and since 131082337 and 7436134 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (131082331) 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 as a sum of consecutive naturals, namely, 65541168 + 65541169.

It is an arithmetic number, because the mean of its divisors is an integer number (65541169).

Almost surely, 2131082337 is an apocalyptic number.

It is an amenable number.

131082337 is a deficient number, since it is larger than the sum of its proper divisors (1).

131082337 is an equidigital number, since it uses as much as digits as its factorization.

131082337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 131082337 is about 11449.1194857945. The cubic root of 131082337 is about 507.9816899284.

The spelling of 131082337 in words is "one hundred thirty-one million, eighty-two thousand, three hundred thirty-seven".