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10824928129 is a prime number
BaseRepresentation
bin10100001010011011…
…10100101110000001
31000221102000022210001
422011031310232001
5134132140200004
64550051440001
7532152241141
oct120515645601
930842008701
1010824928129
1146554317a4
1221212b6001
13103688a922
1474993a921
1543550b1a4
hex285374b81

10824928129 has 2 divisors, whose sum is σ = 10824928130. Its totient is φ = 10824928128.

The previous prime is 10824928123. The next prime is 10824928141. The reversal of 10824928129 is 92182942801.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10764477504 + 60450625 = 103752^2 + 7775^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10824928129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10824928123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5412464064 + 5412464065.

It is an arithmetic number, because the mean of its divisors is an integer number (5412464065).

Almost surely, 210824928129 is an apocalyptic number.

It is an amenable number.

10824928129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10824928129 is an equidigital number, since it uses as much as digits as its factorization.

10824928129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 10824928129 in words is "ten billion, eight hundred twenty-four million, nine hundred twenty-eight thousand, one hundred twenty-nine".