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13397000993 is a prime number
BaseRepresentation
bin11000111101000011…
…00000001100100001
31021120122211011102222
430132201200030201
5204414113012433
610053212120425
7652663425635
oct143641401441
937518734388
1013397000993
115755292152
12271a766115
13135670322c
1491138cdc5
15536221b98
hex31e860321

13397000993 has 2 divisors, whose sum is σ = 13397000994. Its totient is φ = 13397000992.

The previous prime is 13397000963. The next prime is 13397001001. The reversal of 13397000993 is 39900079331.

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., 11952392929 + 1444608064 = 109327^2 + 38008^2 .

It is a cyclic number.

It is not a de Polignac number, because 13397000993 - 210 = 13396999969 is a prime.

It is not a weakly prime, because it can be changed into another prime (13397000933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6698500496 + 6698500497.

It is an arithmetic number, because the mean of its divisors is an integer number (6698500497).

Almost surely, 213397000993 is an apocalyptic number.

It is an amenable number.

13397000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

13397000993 is an equidigital number, since it uses as much as digits as its factorization.

13397000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 137781, while the sum is 44.

The spelling of 13397000993 in words is "thirteen billion, three hundred ninety-seven million, nine hundred ninety-three", and thus it is an aban number.