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9099000013 is a prime number
BaseRepresentation
bin10000111100101011…
…11011100011001101
3212111010101002111111
420132111323203031
5122113321000023
64102515052021
7441324136555
oct103625734315
925433332444
109099000013
11394a16a424
12191b2a1011
13b2013389c
14624626165
15383c3500d
hex21e57b8cd

9099000013 has 2 divisors, whose sum is σ = 9099000014. Its totient is φ = 9099000012.

The previous prime is 9099000007. The next prime is 9099000019. The reversal of 9099000013 is 3100009909.

It is a balanced prime because it is at equal distance from previous prime (9099000007) and next prime (9099000019).

It can be written as a sum of positive squares in only one way, i.e., 8300485449 + 798514564 = 91107^2 + 28258^2 .

It is a cyclic number.

It is not a de Polignac number, because 9099000013 - 225 = 9065445581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9099000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4549500006 + 4549500007.

It is an arithmetic number, because the mean of its divisors is an integer number (4549500007).

Almost surely, 29099000013 is an apocalyptic number.

It is an amenable number.

9099000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9099000013 is an equidigital number, since it uses as much as digits as its factorization.

9099000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 31.

The square root of 9099000013 is about 95388.6786416501. The cubic root of 9099000013 is about 2087.6830021501.

The spelling of 9099000013 in words is "nine billion, ninety-nine million, thirteen", and thus it is an aban number and an uban number.