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23137005349 is a prime number
BaseRepresentation
bin10101100011000100…
…101010111100100101
32012201110100122121001
4111203010222330211
5334341033132344
614343510153301
71446233205043
oct254304527445
965643318531
1023137005349
1198a3266627
124598652831
13224958b413
141196b93393
15906373ed4
hex56312af25

23137005349 has 2 divisors, whose sum is σ = 23137005350. Its totient is φ = 23137005348.

The previous prime is 23137005271. The next prime is 23137005373. The reversal of 23137005349 is 94350073132.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21418322500 + 1718682849 = 146350^2 + 41457^2 .

It is a cyclic number.

It is not a de Polignac number, because 23137005349 - 211 = 23137003301 is a prime.

It is a super-2 number, since 2×231370053492 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23137005149) 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, 11568502674 + 11568502675.

It is an arithmetic number, because the mean of its divisors is an integer number (11568502675).

Almost surely, 223137005349 is an apocalyptic number.

It is an amenable number.

23137005349 is a deficient number, since it is larger than the sum of its proper divisors (1).

23137005349 is an equidigital number, since it uses as much as digits as its factorization.

23137005349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 23137005349 in words is "twenty-three billion, one hundred thirty-seven million, five thousand, three hundred forty-nine".