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10083018719 is a prime number
BaseRepresentation
bin10010110001111111…
…01010011111011111
3222000200222102101202
421120333222133133
5131122223044334
64344310030115
7504603150014
oct113077523737
928020872352
1010083018719
114304668224
121b5494833b
13c48c66887
146b91b370b
153e030b17e
hex258fea7df

10083018719 has 2 divisors, whose sum is σ = 10083018720. Its totient is φ = 10083018718.

The previous prime is 10083018697. The next prime is 10083018773. The reversal of 10083018719 is 91781038001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10083018719 - 216 = 10082953183 is a prime.

It is a super-3 number, since 3×100830187193 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10083018919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5041509359 + 5041509360.

It is an arithmetic number, because the mean of its divisors is an integer number (5041509360).

Almost surely, 210083018719 is an apocalyptic number.

10083018719 is a deficient number, since it is larger than the sum of its proper divisors (1).

10083018719 is an equidigital number, since it uses as much as digits as its factorization.

10083018719 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 38.

The spelling of 10083018719 in words is "ten billion, eighty-three million, eighteen thousand, seven hundred nineteen".