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13023510373 is a prime number
BaseRepresentation
bin11000010000100001…
…01111111101100101
31020121122000212122001
430020100233331211
5203133004312443
65552151005301
7640510003666
oct141020577545
936548025561
1013023510373
115583483115
122635669831
1312c7213b73
148b792936d
15513547d4d
hex30842ff65

13023510373 has 2 divisors, whose sum is σ = 13023510374. Its totient is φ = 13023510372.

The previous prime is 13023510349. The next prime is 13023510377. The reversal of 13023510373 is 37301532031.

13023510373 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11723042529 + 1300467844 = 108273^2 + 36062^2 .

It is a cyclic number.

It is not a de Polignac number, because 13023510373 - 217 = 13023379301 is a prime.

It is a super-2 number, since 2×130235103732 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13023510377) 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, 6511755186 + 6511755187.

It is an arithmetic number, because the mean of its divisors is an integer number (6511755187).

Almost surely, 213023510373 is an apocalyptic number.

It is an amenable number.

13023510373 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023510373 is an equidigital number, since it uses as much as digits as its factorization.

13023510373 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 28.

It can be divided in two parts, 130235 and 10373, that added together give a cube (140608 = 523).

The spelling of 13023510373 in words is "thirteen billion, twenty-three million, five hundred ten thousand, three hundred seventy-three".