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13340136961 is a prime number
BaseRepresentation
bin11000110110010001…
…00101011000000001
31021102200211011122201
430123020211120001
5204310033340321
610043421233201
7651403202404
oct143310453001
937380734581
1013340136961
115726183388
122703702801
1313479b3788
149079c9d3b
1553123d291
hex31b225601

13340136961 has 2 divisors, whose sum is σ = 13340136962. Its totient is φ = 13340136960.

The previous prime is 13340136937. The next prime is 13340136977. The reversal of 13340136961 is 16963104331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10129214736 + 3210922225 = 100644^2 + 56665^2 .

It is an emirp because it is prime and its reverse (16963104331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13340136961 - 29 = 13340136449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13340136961.

It is not a weakly prime, because it can be changed into another prime (13340146961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6670068480 + 6670068481.

It is an arithmetic number, because the mean of its divisors is an integer number (6670068481).

Almost surely, 213340136961 is an apocalyptic number.

It is an amenable number.

13340136961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13340136961 is an equidigital number, since it uses as much as digits as its factorization.

13340136961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 13340136961 in words is "thirteen billion, three hundred forty million, one hundred thirty-six thousand, nine hundred sixty-one".