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12211012193 is a prime number
BaseRepresentation
bin10110101111101010…
…10100001001100001
31011112000011200122212
423113311110021201
5200002004342233
65335404211505
7611412614432
oct132765241141
934460150585
1012211012193
1151a6886216
122449539b95
1311c7aa6303
1483ba69489
154b7052a48
hex2d7d54261

12211012193 has 2 divisors, whose sum is σ = 12211012194. Its totient is φ = 12211012192.

The previous prime is 12211012159. The next prime is 12211012217. The reversal of 12211012193 is 39121011221.

12211012193 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., 12120248464 + 90763729 = 110092^2 + 9527^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211012193 - 220 = 12209963617 is a prime.

It is not a weakly prime, because it can be changed into another prime (12211011193) 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, 6105506096 + 6105506097.

It is an arithmetic number, because the mean of its divisors is an integer number (6105506097).

Almost surely, 212211012193 is an apocalyptic number.

It is an amenable number.

12211012193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211012193 is an equidigital number, since it uses as much as digits as its factorization.

12211012193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 12211012193 in words is "twelve billion, two hundred eleven million, twelve thousand, one hundred ninety-three".