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13031997353 is a prime number
BaseRepresentation
bin11000010001100010…
…00111111110101001
31020122020000001120122
430020301013332221
5203142142403403
65553052533025
7640642102244
oct141061077651
936566001518
1013031997353
11558824a551
122638481175
1312c8bc5b4b
148b8ad825b
15514172838
hex308c47fa9

13031997353 has 2 divisors, whose sum is σ = 13031997354. Its totient is φ = 13031997352.

The previous prime is 13031997337. The next prime is 13031997359. The reversal of 13031997353 is 35379913031.

13031997353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9353210944 + 3678786409 = 96712^2 + 60653^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031997353 - 24 = 13031997337 is a prime.

It is not a weakly prime, because it can be changed into another prime (13031997359) 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, 6515998676 + 6515998677.

It is an arithmetic number, because the mean of its divisors is an integer number (6515998677).

Almost surely, 213031997353 is an apocalyptic number.

It is an amenable number.

13031997353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031997353 is an equidigital number, since it uses as much as digits as its factorization.

13031997353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 229635, while the sum is 44.

The spelling of 13031997353 in words is "thirteen billion, thirty-one million, nine hundred ninety-seven thousand, three hundred fifty-three".