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13310009917 is a prime number
BaseRepresentation
bin11000110010101011…
…01010001000111101
31021100121010120010021
430121111222020331
5204224330304132
610040423412141
7650556134431
oct143125521075
937317116107
1013310009917
1157101764a6
1226b55b4051
131341695a19
149039c69c1
1552d78b997
hex31956a23d

13310009917 has 2 divisors, whose sum is σ = 13310009918. Its totient is φ = 13310009916.

The previous prime is 13310009893. The next prime is 13310010011. The reversal of 13310009917 is 71990001331.

13310009917 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., 12564392281 + 745617636 = 112091^2 + 27306^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310009917 - 231 = 11162526269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13310000917) 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, 6655004958 + 6655004959.

It is an arithmetic number, because the mean of its divisors is an integer number (6655004959).

Almost surely, 213310009917 is an apocalyptic number.

It is an amenable number.

13310009917 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310009917 is an equidigital number, since it uses as much as digits as its factorization.

13310009917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5103, while the sum is 34.

The spelling of 13310009917 in words is "thirteen billion, three hundred ten million, nine thousand, nine hundred seventeen".