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102312021013 is a prime number
BaseRepresentation
bin101111101001001000…
…1011000110000010101
3100210002022010011211121
41133102101120300111
53134013334133023
6115000153403541
710251246554356
oct1372221306025
9323068104747
10102312021013
113a432517774
12179b41095b1
139856803307
144d4813bd2d
1529dc1d2d5d
hex17d2458c15

102312021013 has 2 divisors, whose sum is σ = 102312021014. Its totient is φ = 102312021012.

The previous prime is 102312020981. The next prime is 102312021113. The reversal of 102312021013 is 310120213201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99665227204 + 2646793809 = 315698^2 + 51447^2 .

It is a cyclic number.

It is not a de Polignac number, because 102312021013 - 25 = 102312020981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102312021113) 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, 51156010506 + 51156010507.

It is an arithmetic number, because the mean of its divisors is an integer number (51156010507).

Almost surely, 2102312021013 is an apocalyptic number.

It is an amenable number.

102312021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

102312021013 is an equidigital number, since it uses as much as digits as its factorization.

102312021013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102312021013 its reverse (310120213201), we get a palindrome (412432234214).

The spelling of 102312021013 in words is "one hundred two billion, three hundred twelve million, twenty-one thousand, thirteen".