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10221221993 is a prime number
BaseRepresentation
bin10011000010011101…
…10111100001101001
3222101100000212122112
421201032313201221
5131413113100433
64410124132105
7511201645013
oct114116674151
928340025575
1010221221993
114375682404
121b93097035
13c6b795168
146cd6ab1b3
153ec50a348
hex2613b7869

10221221993 has 2 divisors, whose sum is σ = 10221221994. Its totient is φ = 10221221992.

The previous prime is 10221221971. The next prime is 10221222013. The reversal of 10221221993 is 39912212201.

It is a happy number.

10221221993 is digitally balanced in base 2, because in such base 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., 7564128784 + 2657093209 = 86972^2 + 51547^2 .

It is an emirp because it is prime and its reverse (39912212201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10221221993 - 210 = 10221220969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10221221693) 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, 5110610996 + 5110610997.

It is an arithmetic number, because the mean of its divisors is an integer number (5110610997).

Almost surely, 210221221993 is an apocalyptic number.

It is an amenable number.

10221221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221221993 is an equidigital number, since it uses as much as digits as its factorization.

10221221993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 10221221993 in words is "ten billion, two hundred twenty-one million, two hundred twenty-one thousand, nine hundred ninety-three".