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10202000993 is a prime number
BaseRepresentation
bin10011000000001011…
…00010111001100001
3222022222212100101122
421200011202321201
5131343203012433
64404200142025
7510546402062
oct114005427141
928288770348
1010202000993
114365844388
121b88767915
13c677c54a2
146cad06569
153ea9b0198
hex260162e61

10202000993 has 2 divisors, whose sum is σ = 10202000994. Its totient is φ = 10202000992.

The previous prime is 10202000983. The next prime is 10202001041. The reversal of 10202000993 is 39900020201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7776241489 + 2425759504 = 88183^2 + 49252^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202000993 - 26 = 10202000929 is a prime.

It is a super-2 number, since 2×102020009932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10202000953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101000496 + 5101000497.

It is an arithmetic number, because the mean of its divisors is an integer number (5101000497).

Almost surely, 210202000993 is an apocalyptic number.

It is an amenable number.

10202000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202000993 is an equidigital number, since it uses as much as digits as its factorization.

10202000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 10202000993 in words is "ten billion, two hundred two million, nine hundred ninety-three", and thus it is an aban number.