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10102099993 is a prime number
BaseRepresentation
bin10010110100010000…
…11101000000011001
3222002000212211222121
421122020131000121
5131142114144433
64350231021241
7505224301366
oct113210350031
928060784877
1010102099993
114314410277
121b5b20a821
13c4cbb7a7b
146bb93d46d
153e1d29c2d
hex25a21d019

10102099993 has 2 divisors, whose sum is σ = 10102099994. Its totient is φ = 10102099992.

The previous prime is 10102099933. The next prime is 10102100011. The reversal of 10102099993 is 39999020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9846195984 + 255904009 = 99228^2 + 15997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10102099993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102099913) 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, 5051049996 + 5051049997.

It is an arithmetic number, because the mean of its divisors is an integer number (5051049997).

Almost surely, 210102099993 is an apocalyptic number.

It is an amenable number.

10102099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102099993 is an equidigital number, since it uses as much as digits as its factorization.

10102099993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 43.

The spelling of 10102099993 in words is "ten billion, one hundred two million, ninety-nine thousand, nine hundred ninety-three".