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10024213729 is a prime number
BaseRepresentation
bin10010101010111110…
…10101110011100001
3221212121022211010011
421111133111303201
5131012144314404
64334405404521
7503260260625
oct112537256341
927777284104
1010024213729
114284453162
121b39109741
13c39a1781a
146b1467185
153da092604
hex2557d5ce1

10024213729 has 2 divisors, whose sum is σ = 10024213730. Its totient is φ = 10024213728.

The previous prime is 10024213709. The next prime is 10024213733. The reversal of 10024213729 is 92731242001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5248712704 + 4775501025 = 72448^2 + 69105^2 .

It is a cyclic number.

It is not a de Polignac number, because 10024213729 - 229 = 9487342817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10024213729.

It is not a weakly prime, because it can be changed into another prime (10024213709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5012106864 + 5012106865.

It is an arithmetic number, because the mean of its divisors is an integer number (5012106865).

Almost surely, 210024213729 is an apocalyptic number.

It is an amenable number.

10024213729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024213729 is an equidigital number, since it uses as much as digits as its factorization.

10024213729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 10024213729 in words is "ten billion, twenty-four million, two hundred thirteen thousand, seven hundred twenty-nine".