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13305552431 is a prime number
BaseRepresentation
bin11000110010001001…
…01001111000101111
31021100021202002121012
430121010221320233
5204222210134211
610040144055435
7650503221023
oct143104517057
937307662535
1013305552431
115708701526
1226b400457b
131340794b62
14903186383
1552d1aad8b
hex319129e2f

13305552431 has 2 divisors, whose sum is σ = 13305552432. Its totient is φ = 13305552430.

The previous prime is 13305552413. The next prime is 13305552473. The reversal of 13305552431 is 13425550331.

13305552431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (13305552413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13305552431 - 226 = 13238443567 is a prime.

It is a super-2 number, since 2×133055524312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13335552431) 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, 6652776215 + 6652776216.

It is an arithmetic number, because the mean of its divisors is an integer number (6652776216).

Almost surely, 213305552431 is an apocalyptic number.

13305552431 is a deficient number, since it is larger than the sum of its proper divisors (1).

13305552431 is an equidigital number, since it uses as much as digits as its factorization.

13305552431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 13305552431 in words is "thirteen billion, three hundred five million, five hundred fifty-two thousand, four hundred thirty-one".