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131409029 is a prime number
BaseRepresentation
bin1111101010100…
…10010010000101
3100011021021022002
413311102102011
5232120042104
621012315045
73153646463
oct765222205
9304237262
10131409029
11681a4604
1238012a85
13212bcc2b
1413649833
15b80b01e
hex7d52485

131409029 has 2 divisors, whose sum is σ = 131409030. Its totient is φ = 131409028.

The previous prime is 131409023. The next prime is 131409037. The reversal of 131409029 is 920904131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110460100 + 20948929 = 10510^2 + 4577^2 .

It is a cyclic number.

It is not a de Polignac number, because 131409029 - 24 = 131409013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131408992 and 131409010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131409023) 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 as a sum of consecutive naturals, namely, 65704514 + 65704515.

It is an arithmetic number, because the mean of its divisors is an integer number (65704515).

Almost surely, 2131409029 is an apocalyptic number.

It is an amenable number.

131409029 is a deficient number, since it is larger than the sum of its proper divisors (1).

131409029 is an equidigital number, since it uses as much as digits as its factorization.

131409029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 131409029 is about 11463.3777308436. The cubic root of 131409029 is about 508.4033482587.

The spelling of 131409029 in words is "one hundred thirty-one million, four hundred nine thousand, twenty-nine".