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104075912729 is a prime number
BaseRepresentation
bin110000011101101101…
…0000110011000011001
3100221122020012011101102
41200323122012120121
53201121413201404
6115451204001145
710343045442665
oct1407332063031
9327566164342
10104075912729
1140158159718
12182069901b5
139a78090019
1450744d58a5
152a91ea771e
hex183b686619

104075912729 has 2 divisors, whose sum is σ = 104075912730. Its totient is φ = 104075912728.

The previous prime is 104075912711. The next prime is 104075912741. The reversal of 104075912729 is 927219570401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68751462025 + 35324450704 = 262205^2 + 187948^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104075912729 is a prime.

It is a super-2 number, since 2×1040759127292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (104075912929) 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, 52037956364 + 52037956365.

It is an arithmetic number, because the mean of its divisors is an integer number (52037956365).

Almost surely, 2104075912729 is an apocalyptic number.

It is an amenable number.

104075912729 is a deficient number, since it is larger than the sum of its proper divisors (1).

104075912729 is an equidigital number, since it uses as much as digits as its factorization.

104075912729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 47.

The spelling of 104075912729 in words is "one hundred four billion, seventy-five million, nine hundred twelve thousand, seven hundred twenty-nine".