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102301322993 is a prime number
BaseRepresentation
bin101111101000110100…
…0100100111011110001
3100210001112222122220122
41133101220210323301
53134003114313433
6114555132220025
710251056616662
oct1372150447361
9323045878818
10102301322993
113a427480131
12179b060a615
139854528b1c
144d46955369
1529db2bd198
hex17d1a24ef1

102301322993 has 2 divisors, whose sum is σ = 102301322994. Its totient is φ = 102301322992.

The previous prime is 102301322969. The next prime is 102301323013. The reversal of 102301322993 is 399223103201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53136243169 + 49165079824 = 230513^2 + 221732^2 .

It is a cyclic number.

It is not a de Polignac number, because 102301322993 - 28 = 102301322737 is a prime.

It is a super-2 number, since 2×1023013229932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102301322933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51150661496 + 51150661497.

It is an arithmetic number, because the mean of its divisors is an integer number (51150661497).

Almost surely, 2102301322993 is an apocalyptic number.

It is an amenable number.

102301322993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102301322993 is an equidigital number, since it uses as much as digits as its factorization.

102301322993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 102301322993 in words is "one hundred two billion, three hundred one million, three hundred twenty-two thousand, nine hundred ninety-three".