Search a number
-
+
13022977665569 is a prime number
BaseRepresentation
bin1011110110000010010111…
…1101010010101000100001
31201002222120201000212210012
42331200211331102220201
53201332024240244234
643410401235414305
72512610345500124
oct275404575225041
951088521025705
1013022977665569
114171017424a53
121563b34a54395
137360a5227731
1433045b97c3bb
15178b56a340ce
hexbd825f52a21

13022977665569 has 2 divisors, whose sum is σ = 13022977665570. Its totient is φ = 13022977665568.

The previous prime is 13022977665517. The next prime is 13022977665571. The reversal of 13022977665569 is 96556677922031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7721379315169 + 5301598350400 = 2778737^2 + 2302520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13022977665569 is a prime.

It is a super-2 number, since 2×130229776655692 (a number of 27 digits) contains 22 as substring.

Together with 13022977665571, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13022977665499 and 13022977665508.

It is not a weakly prime, because it can be changed into another prime (13022977265569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511488832784 + 6511488832785.

It is an arithmetic number, because the mean of its divisors is an integer number (6511488832785).

Almost surely, 213022977665569 is an apocalyptic number.

It is an amenable number.

13022977665569 is a deficient number, since it is larger than the sum of its proper divisors (1).

13022977665569 is an equidigital number, since it uses as much as digits as its factorization.

13022977665569 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 257191200, while the sum is 68.

The spelling of 13022977665569 in words is "thirteen trillion, twenty-two billion, nine hundred seventy-seven million, six hundred sixty-five thousand, five hundred sixty-nine".