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131365361 is a prime number
BaseRepresentation
bin1111101010001…
…11100111110001
3100011012001101202
413311013213301
5232112142421
621011340545
73153405251
oct765074761
9304161352
10131365361
1168174816
1237bb1755
13212a60aa
1413637961
15b7ed10b
hex7d479f1

131365361 has 2 divisors, whose sum is σ = 131365362. Its totient is φ = 131365360.

The previous prime is 131365309. The next prime is 131365363. The reversal of 131365361 is 163563131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111429136 + 19936225 = 10556^2 + 4465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131365361 is a prime.

Together with 131365363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131365363) 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, 65682680 + 65682681.

It is an arithmetic number, because the mean of its divisors is an integer number (65682681).

Almost surely, 2131365361 is an apocalyptic number.

It is an amenable number.

131365361 is a deficient number, since it is larger than the sum of its proper divisors (1).

131365361 is an equidigital number, since it uses as much as digits as its factorization.

131365361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4860, while the sum is 29.

The square root of 131365361 is about 11461.4728983669. The cubic root of 131365361 is about 508.3470268699.

The spelling of 131365361 in words is "one hundred thirty-one million, three hundred sixty-five thousand, three hundred sixty-one".