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10057892881 is a prime number
BaseRepresentation
bin10010101110111111…
…10100010000010001
3221221221200220020011
421113133310100101
5131044310033011
64342011314521
7504146451601
oct112737642021
927857626204
1010057892881
1142a1466873
121b4844ba41
13c439aa30a
146b5b12c01
153dcee6621
hex2577f4411

10057892881 has 2 divisors, whose sum is σ = 10057892882. Its totient is φ = 10057892880.

The previous prime is 10057892879. The next prime is 10057892927. The reversal of 10057892881 is 18829875001.

10057892881 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., 6270105856 + 3787787025 = 79184^2 + 61545^2 .

It is a cyclic number.

It is not a de Polignac number, because 10057892881 - 21 = 10057892879 is a prime.

It is a super-2 number, since 2×100578928812 (a number of 21 digits) contains 22 as substring.

Together with 10057892879, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10057892851) 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, 5028946440 + 5028946441.

It is an arithmetic number, because the mean of its divisors is an integer number (5028946441).

Almost surely, 210057892881 is an apocalyptic number.

It is an amenable number.

10057892881 is a deficient number, since it is larger than the sum of its proper divisors (1).

10057892881 is an equidigital number, since it uses as much as digits as its factorization.

10057892881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 322560, while the sum is 49.

The spelling of 10057892881 in words is "ten billion, fifty-seven million, eight hundred ninety-two thousand, eight hundred eighty-one".