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10023014329 is a prime number
BaseRepresentation
bin10010101010110101…
…10000111110111001
3221212112001212211221
421111122300332321
5131011342424304
64334323552041
7503244134056
oct112532607671
927775055757
1010023014329
114283804019
121b3882b621
13c396b7913
146b123402d
153d9e07054
hex2556b0fb9

10023014329 has 2 divisors, whose sum is σ = 10023014330. Its totient is φ = 10023014328.

The previous prime is 10023014303. The next prime is 10023014383. The reversal of 10023014329 is 92341032001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6504745104 + 3518269225 = 80652^2 + 59315^2 .

It is an emirp because it is prime and its reverse (92341032001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10023014329 - 211 = 10023012281 is a prime.

It is not a weakly prime, because it can be changed into another prime (10023014929) 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, 5011507164 + 5011507165.

It is an arithmetic number, because the mean of its divisors is an integer number (5011507165).

Almost surely, 210023014329 is an apocalyptic number.

It is an amenable number.

10023014329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023014329 is an equidigital number, since it uses as much as digits as its factorization.

10023014329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 10023014329 in words is "ten billion, twenty-three million, fourteen thousand, three hundred twenty-nine".