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13164993337 is a prime number
BaseRepresentation
bin11000100001011000…
…11101101100111001
31020222111020221202211
430100230131230321
5203430214241322
610014203255121
7644145411526
oct142054355471
936874227684
1013164993337
115646328391
122674b1a4a1
13131a6201b2
148cc63814d
15520b93b77
hex310b1db39

13164993337 has 2 divisors, whose sum is σ = 13164993338. Its totient is φ = 13164993336.

The previous prime is 13164993319. The next prime is 13164993349. The reversal of 13164993337 is 73339946131.

It is a happy number.

13164993337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12332324601 + 832668736 = 111051^2 + 28856^2 .

It is an emirp because it is prime and its reverse (73339946131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13164993337 - 215 = 13164960569 is a prime.

It is not a weakly prime, because it can be changed into another prime (13164993637) 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, 6582496668 + 6582496669.

It is an arithmetic number, because the mean of its divisors is an integer number (6582496669).

Almost surely, 213164993337 is an apocalyptic number.

It is an amenable number.

13164993337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13164993337 is an equidigital number, since it uses as much as digits as its factorization.

13164993337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1102248, while the sum is 49.

The spelling of 13164993337 in words is "thirteen billion, one hundred sixty-four million, nine hundred ninety-three thousand, three hundred thirty-seven".