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23023333013 is a prime number
BaseRepresentation
bin10101011100010011…
…000010111010010101
32012102112110111110112
4111130103002322111
5334122433124023
614324325532405
71443353046602
oct253423027225
965375414415
1023023333013
11984508694a
124566574105
13222bb6b695
141185a436a9
158eb3bd478
hex55c4c2e95

23023333013 has 2 divisors, whose sum is σ = 23023333014. Its totient is φ = 23023333012.

The previous prime is 23023332947. The next prime is 23023333043. The reversal of 23023333013 is 31033332032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22795866289 + 227466724 = 150983^2 + 15082^2 .

It is a cyclic number.

It is not a de Polignac number, because 23023333013 - 28 = 23023332757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23023333013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23023333043) 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, 11511666506 + 11511666507.

It is an arithmetic number, because the mean of its divisors is an integer number (11511666507).

Almost surely, 223023333013 is an apocalyptic number.

It is an amenable number.

23023333013 is a deficient number, since it is larger than the sum of its proper divisors (1).

23023333013 is an equidigital number, since it uses as much as digits as its factorization.

23023333013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 23023333013 its reverse (31033332032), we get a palindrome (54056665045).

The spelling of 23023333013 in words is "twenty-three billion, twenty-three million, three hundred thirty-three thousand, thirteen".