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13931392313 is a prime number
BaseRepresentation
bin11001111100110000…
…00010110100111001
31022221220101001112002
430332120002310321
5212012414023223
610222222030345
71002142611056
oct147630026471
938856331462
1013931392313
1159a99a9273
1228497183b5
13141033a007
1496233802d
155680cee28
hex33e602d39

13931392313 has 2 divisors, whose sum is σ = 13931392314. Its totient is φ = 13931392312.

The previous prime is 13931392301. The next prime is 13931392369. The reversal of 13931392313 is 31329313931.

13931392313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13799670784 + 131721529 = 117472^2 + 11477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13931392313 is a prime.

It is not a weakly prime, because it can be changed into another prime (13931392393) 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, 6965696156 + 6965696157.

It is an arithmetic number, because the mean of its divisors is an integer number (6965696157).

Almost surely, 213931392313 is an apocalyptic number.

It is an amenable number.

13931392313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13931392313 is an equidigital number, since it uses as much as digits as its factorization.

13931392313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 39366, while the sum is 38.

The spelling of 13931392313 in words is "thirteen billion, nine hundred thirty-one million, three hundred ninety-two thousand, three hundred thirteen".