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10100111059 is a prime number
BaseRepresentation
bin10010110100000001…
…10111011011010011
3222001220010210200101
421122000313123103
5131141112023214
64350120233231
7505201345633
oct113200673323
928056123611
1010100111059
114313281a25
121b5a60b817
13c4c66c69c
146bb5826c3
153e1a85774
hex25a0376d3

10100111059 has 2 divisors, whose sum is σ = 10100111060. Its totient is φ = 10100111058.

The previous prime is 10100110997. The next prime is 10100111071. The reversal of 10100111059 is 95011100101.

10100111059 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 is a cyclic number.

It is not a de Polignac number, because 10100111059 - 27 = 10100110931 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100111159) 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, 5050055529 + 5050055530.

It is an arithmetic number, because the mean of its divisors is an integer number (5050055530).

Almost surely, 210100111059 is an apocalyptic number.

10100111059 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100111059 is an equidigital number, since it uses as much as digits as its factorization.

10100111059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45, while the sum is 19.

The spelling of 10100111059 in words is "ten billion, one hundred million, one hundred eleven thousand, fifty-nine".