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131413229 is a prime number
BaseRepresentation
bin1111101010100…
…11010011101101
3100011021111001122
413311103103231
5232120210404
621012350325
73153664643
oct765232355
9304244048
10131413229
11681a7782
12380153a5
13212c1b0c
141364b193
15b80c3be
hex7d534ed

131413229 has 2 divisors, whose sum is σ = 131413230. Its totient is φ = 131413228.

The previous prime is 131413223. The next prime is 131413267. The reversal of 131413229 is 922314131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111788329 + 19624900 = 10573^2 + 4430^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131413229 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 131413198 and 131413207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131413223) 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 as a sum of consecutive naturals, namely, 65706614 + 65706615.

It is an arithmetic number, because the mean of its divisors is an integer number (65706615).

Almost surely, 2131413229 is an apocalyptic number.

It is an amenable number.

131413229 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413229 is an equidigital number, since it uses as much as digits as its factorization.

131413229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 26.

The square root of 131413229 is about 11463.5609214589. The cubic root of 131413229 is about 508.4087646073.

The spelling of 131413229 in words is "one hundred thirty-one million, four hundred thirteen thousand, two hundred twenty-nine".