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131193407 is a prime number
BaseRepresentation
bin1111101000111…
…01101000111111
3100010212022112002
413310131220333
5232041142112
621003532515
73152061032
oct764355077
9303768462
10131193407
1168067604
1237b2a13b
1321245a47
14135d1019
15b7b71c2
hex7d1da3f

131193407 has 2 divisors, whose sum is σ = 131193408. Its totient is φ = 131193406.

The previous prime is 131193401. The next prime is 131193409. The reversal of 131193407 is 704391131.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 131193407 - 220 = 130144831 is a prime.

Together with 131193409, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131193407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131193401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65596703 + 65596704.

It is an arithmetic number, because the mean of its divisors is an integer number (65596704).

Almost surely, 2131193407 is an apocalyptic number.

131193407 is a deficient number, since it is larger than the sum of its proper divisors (1).

131193407 is an equidigital number, since it uses as much as digits as its factorization.

131193407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 131193407 is about 11453.9690500717. The cubic root of 131193407 is about 508.1251254698.

The spelling of 131193407 in words is "one hundred thirty-one million, one hundred ninety-three thousand, four hundred seven".