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13337554961 is a prime number
BaseRepresentation
bin11000110101111101…
…01111000000010001
31021102111221222211002
430122332233000101
5204303403224321
610043250031345
7651342226613
oct143276570021
937374858732
1013337554961
11572477a4a5
122702878555
1313472bb473
14907516db3
15530dcd20b
hex31afaf011

13337554961 has 2 divisors, whose sum is σ = 13337554962. Its totient is φ = 13337554960.

The previous prime is 13337554949. The next prime is 13337555087. The reversal of 13337554961 is 16945573331.

13337554961 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., 8851234561 + 4486320400 = 94081^2 + 66980^2 .

It is a cyclic number.

It is not a de Polignac number, because 13337554961 - 222 = 13333360657 is a prime.

It is not a weakly prime, because it can be changed into another prime (13337554931) 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, 6668777480 + 6668777481.

It is an arithmetic number, because the mean of its divisors is an integer number (6668777481).

Almost surely, 213337554961 is an apocalyptic number.

It is an amenable number.

13337554961 is a deficient number, since it is larger than the sum of its proper divisors (1).

13337554961 is an equidigital number, since it uses as much as digits as its factorization.

13337554961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1020600, while the sum is 47.

The spelling of 13337554961 in words is "thirteen billion, three hundred thirty-seven million, five hundred fifty-four thousand, nine hundred sixty-one".