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10300199857 is a prime number
BaseRepresentation
bin10011001011111000…
…01001001110110001
3222120211122100220121
421211330021032301
5132043322343412
64422025010241
7513151153123
oct114574111661
928524570817
1010300199857
114406215672
121bb5623981
13c81c5821c
146d9d89213
1540440b107
hex265f093b1

10300199857 has 2 divisors, whose sum is σ = 10300199858. Its totient is φ = 10300199856.

The previous prime is 10300199837. The next prime is 10300199863. The reversal of 10300199857 is 75899100301.

10300199857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6908768161 + 3391431696 = 83119^2 + 58236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10300199857 is a prime.

It is not a weakly prime, because it can be changed into another prime (10300199807) 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, 5150099928 + 5150099929.

It is an arithmetic number, because the mean of its divisors is an integer number (5150099929).

Almost surely, 210300199857 is an apocalyptic number.

It is an amenable number.

10300199857 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300199857 is an equidigital number, since it uses as much as digits as its factorization.

10300199857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 43.

The spelling of 10300199857 in words is "ten billion, three hundred million, one hundred ninety-nine thousand, eight hundred fifty-seven".