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13312993 is a prime number
BaseRepresentation
bin110010110010…
…001111100001
3221001100222211
4302302033201
511402003433
61153202121
7221105251
oct62621741
927040884
1013312993
117573281
124560341
1329b1815
141aa7961
15127e8cd
hexcb23e1

13312993 has 2 divisors, whose sum is σ = 13312994. Its totient is φ = 13312992.

The previous prime is 13312979. The next prime is 13313011. The reversal of 13312993 is 39921331.

13312993 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., 9102289 + 4210704 = 3017^2 + 2052^2 .

It is a cyclic number.

It is not a de Polignac number, because 13312993 - 213 = 13304801 is a prime.

It is not a weakly prime, because it can be changed into another prime (13312903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656496 + 6656497.

It is an arithmetic number, because the mean of its divisors is an integer number (6656497).

Almost surely, 213312993 is an apocalyptic number.

It is an amenable number.

13312993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312993 is an equidigital number, since it uses as much as digits as its factorization.

13312993 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4374, while the sum is 31.

The square root of 13312993 is about 3648.6974388129. The cubic root of 13312993 is about 237.0055782720.

The spelling of 13312993 in words is "thirteen million, three hundred twelve thousand, nine hundred ninety-three".