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13379380037 is a prime number
BaseRepresentation
bin11000111010111100…
…10010001101000101
31021112102122221000222
430131132102031011
5204400110130122
610051342314125
7652360565612
oct143536221505
937472587028
1013379380037
115746347281
122714888945
131352b7392a
1490ccc3509
155348e0b42
hex31d792345

13379380037 has 2 divisors, whose sum is σ = 13379380038. Its totient is φ = 13379380036.

The previous prime is 13379380019. The next prime is 13379380127. The reversal of 13379380037 is 73008397331.

It is a happy number.

13379380037 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., 12505054276 + 874325761 = 111826^2 + 29569^2 .

It is an emirp because it is prime and its reverse (73008397331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13379380037 - 218 = 13379117893 is a prime.

It is a super-3 number, since 3×133793800373 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13379380037.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13379380837) 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, 6689690018 + 6689690019.

It is an arithmetic number, because the mean of its divisors is an integer number (6689690019).

Almost surely, 213379380037 is an apocalyptic number.

It is an amenable number.

13379380037 is a deficient number, since it is larger than the sum of its proper divisors (1).

13379380037 is an equidigital number, since it uses as much as digits as its factorization.

13379380037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 285768, while the sum is 44.

The spelling of 13379380037 in words is "thirteen billion, three hundred seventy-nine million, three hundred eighty thousand, thirty-seven".