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131364353 is a prime number
BaseRepresentation
bin1111101010001…
…11011000000001
3100011012000000102
413311013120001
5232112124403
621011332145
73153402311
oct765073001
9304160012
10131364353
1168173a8a
1237bb1055
13212a57b3
1413637441
15b7ecb88
hex7d47601

131364353 has 2 divisors, whose sum is σ = 131364354. Its totient is φ = 131364352.

The previous prime is 131364323. The next prime is 131364367. The reversal of 131364353 is 353463131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101465329 + 29899024 = 10073^2 + 5468^2 .

It is a cyclic number.

It is not a de Polignac number, because 131364353 - 226 = 64255489 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131364323) 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, 65682176 + 65682177.

It is an arithmetic number, because the mean of its divisors is an integer number (65682177).

Almost surely, 2131364353 is an apocalyptic number.

It is an amenable number.

131364353 is a deficient number, since it is larger than the sum of its proper divisors (1).

131364353 is an equidigital number, since it uses as much as digits as its factorization.

131364353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 29.

The square root of 131364353 is about 11461.4289248767. The cubic root of 131364353 is about 508.3457266410.

The spelling of 131364353 in words is "one hundred thirty-one million, three hundred sixty-four thousand, three hundred fifty-three".