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13300122109969 is a prime number
BaseRepresentation
bin1100000110001010110100…
…0011011100100000010001
31202002110221101012101102001
43001202231003130200101
53220402122230004334
644141554114554001
72541621265423552
oct301425503344021
952073841171361
1013300122109969
11426860621a022
1215a979bb98901
13756271b9c436
1433da2d472329
15180e77916714
hexc18ad0dc811

13300122109969 has 2 divisors, whose sum is σ = 13300122109970. Its totient is φ = 13300122109968.

The previous prime is 13300122109961. The next prime is 13300122110021. The reversal of 13300122109969 is 96990122100331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12815827206400 + 484294903569 = 3579920^2 + 695913^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300122109969 - 23 = 13300122109961 is a prime.

It is a super-2 number, since 2×133001221099692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13300122109961) 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, 6650061054984 + 6650061054985.

It is an arithmetic number, because the mean of its divisors is an integer number (6650061054985).

Almost surely, 213300122109969 is an apocalyptic number.

It is an amenable number.

13300122109969 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300122109969 is an equidigital number, since it uses as much as digits as its factorization.

13300122109969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 46.

The spelling of 13300122109969 in words is "thirteen trillion, three hundred billion, one hundred twenty-two million, one hundred nine thousand, nine hundred sixty-nine".