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10224868721 is a prime number
BaseRepresentation
bin10011000010111001…
…10001110101110001
3222101120220011000112
421201130301311301
5131420031244341
64410334231105
7511244643614
oct114134616561
928346804015
1010224868721
114377743231
121b94355495
13c6c470ca2
146cdd7a17b
153ec9caaeb
hex261731d71

10224868721 has 2 divisors, whose sum is σ = 10224868722. Its totient is φ = 10224868720.

The previous prime is 10224868699. The next prime is 10224868733. The reversal of 10224868721 is 12786842201.

10224868721 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6644043121 + 3580825600 = 81511^2 + 59840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10224868721 - 26 = 10224868657 is a prime.

It is not a weakly prime, because it can be changed into another prime (10224868921) 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, 5112434360 + 5112434361.

It is an arithmetic number, because the mean of its divisors is an integer number (5112434361).

Almost surely, 210224868721 is an apocalyptic number.

It is an amenable number.

10224868721 is a deficient number, since it is larger than the sum of its proper divisors (1).

10224868721 is an equidigital number, since it uses as much as digits as its factorization.

10224868721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86016, while the sum is 41.

The spelling of 10224868721 in words is "ten billion, two hundred twenty-four million, eight hundred sixty-eight thousand, seven hundred twenty-one".