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315543148576013 is a prime number
BaseRepresentation
bin100011110111111000001110…
…1010010000011110100001101
31112101020122000120011110011002
41013233300131102003310031
5312324324332013413023
63035034304332510045
7123315145243462001
oct10757603522036415
91471218016143132
10315543148576013
11915a61091a6276
122b48246201b325
131070b78bc29b37
1457cc526d3c701
152673004c2eb28
hex11efc1d483d0d

315543148576013 has 2 divisors, whose sum is σ = 315543148576014. Its totient is φ = 315543148576012.

The previous prime is 315543148575971. The next prime is 315543148576063. The reversal of 315543148576013 is 310675841345513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264778407072169 + 50764741503844 = 16272013^2 + 7124938^2 .

It is a cyclic number.

It is not a de Polignac number, because 315543148576013 - 28 = 315543148575757 is a prime.

It is a super-3 number, since 3×3155431485760133 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 315543148576013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (315543148576063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157771574288006 + 157771574288007.

It is an arithmetic number, because the mean of its divisors is an integer number (157771574288007).

Almost surely, 2315543148576013 is an apocalyptic number.

It is an amenable number.

315543148576013 is a deficient number, since it is larger than the sum of its proper divisors (1).

315543148576013 is an equidigital number, since it uses as much as digits as its factorization.

315543148576013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144000, while the sum is 56.

The spelling of 315543148576013 in words is "three hundred fifteen trillion, five hundred forty-three billion, one hundred forty-eight million, five hundred seventy-six thousand, thirteen".