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10221319747 is a prime number
BaseRepresentation
bin10011000010011110…
…01111011001000011
3222101100012211202001
421201033033121003
5131413124212442
64410130204431
7511202533012
oct114117173103
928340184661
1010221319747
1143757398a1
121b93123717
13c6b7ca7c2
146cd6d4a79
153ec5292b7
hex2613cf643

10221319747 has 2 divisors, whose sum is σ = 10221319748. Its totient is φ = 10221319746.

The previous prime is 10221319727. The next prime is 10221319753. The reversal of 10221319747 is 74791312201.

10221319747 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10221319747 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221319727) 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, 5110659873 + 5110659874.

It is an arithmetic number, because the mean of its divisors is an integer number (5110659874).

Almost surely, 210221319747 is an apocalyptic number.

10221319747 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221319747 is an equidigital number, since it uses as much as digits as its factorization.

10221319747 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 10221319747 in words is "ten billion, two hundred twenty-one million, three hundred nineteen thousand, seven hundred forty-seven".