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10100256557 is a prime number
BaseRepresentation
bin10010110100000010…
…11010111100101101
3222001220102012021012
421122001122330231
5131141131202212
64350123315005
7505202523056
oct113201327455
928056365235
1010100256557
114313371276
121b5a67ba65
13c4c6c0991
146bb5bd72d
153e1ab3922
hex25a05af2d

10100256557 has 2 divisors, whose sum is σ = 10100256558. Its totient is φ = 10100256556.

The previous prime is 10100256539. The next prime is 10100256613. The reversal of 10100256557 is 75565200101.

10100256557 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., 9724129321 + 376127236 = 98611^2 + 19394^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100256557 - 210 = 10100255533 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100250557) 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, 5050128278 + 5050128279.

It is an arithmetic number, because the mean of its divisors is an integer number (5050128279).

Almost surely, 210100256557 is an apocalyptic number.

It is an amenable number.

10100256557 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100256557 is an equidigital number, since it uses as much as digits as its factorization.

10100256557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10500, while the sum is 32.

Adding to 10100256557 its reverse (75565200101), we get a palindrome (85665456658).

The spelling of 10100256557 in words is "ten billion, one hundred million, two hundred fifty-six thousand, five hundred fifty-seven".