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10222146049 is a prime number
BaseRepresentation
bin10011000010100100…
…11001001000000001
3222101101202211012211
421201102121020001
5131413332133144
64410200022121
7511212544033
oct114122311001
928341684184
1010222146049
114376153695
121b93461941
13c6ba2993b
146cd86bc53
153ec63e034
hex261499201

10222146049 has 2 divisors, whose sum is σ = 10222146050. Its totient is φ = 10222146048.

The previous prime is 10222146037. The next prime is 10222146073. The reversal of 10222146049 is 94064122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7356149824 + 2865996225 = 85768^2 + 53535^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222146049 - 213 = 10222137857 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10222146049.

It is not a weakly prime, because it can be changed into another prime (10222146089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111073024 + 5111073025.

It is an arithmetic number, because the mean of its divisors is an integer number (5111073025).

Almost surely, 210222146049 is an apocalyptic number.

It is an amenable number.

10222146049 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222146049 is an equidigital number, since it uses as much as digits as its factorization.

10222146049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 10222146049 in words is "ten billion, two hundred twenty-two million, one hundred forty-six thousand, forty-nine".