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10127033057 is a prime number
BaseRepresentation
bin10010110111001111…
…00100001011100001
3222010202210120201102
421123213210023201
5131220010024212
64352521244145
7505646234501
oct113347441341
928122716642
1010127033057
11432749a909
121b67633655
13c5510766b
146c0d8da01
153e41025c2
hex25b9e42e1

10127033057 has 2 divisors, whose sum is σ = 10127033058. Its totient is φ = 10127033056.

The previous prime is 10127033051. The next prime is 10127033107. The reversal of 10127033057 is 75033072101.

10127033057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8412741841 + 1714291216 = 91721^2 + 41404^2 .

It is a cyclic number.

It is not a de Polignac number, because 10127033057 - 210 = 10127032033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10127033051) 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, 5063516528 + 5063516529.

It is an arithmetic number, because the mean of its divisors is an integer number (5063516529).

Almost surely, 210127033057 is an apocalyptic number.

It is an amenable number.

10127033057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10127033057 is an equidigital number, since it uses as much as digits as its factorization.

10127033057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 29.

The spelling of 10127033057 in words is "ten billion, one hundred twenty-seven million, thirty-three thousand, fifty-seven".