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12220012193 is a prime number
BaseRepresentation
bin10110110000101111…
…01001011010100001
31011112122002221100012
423120113221122201
5200011310342233
65340325134305
7611552250464
oct133027513241
934478087305
1012220012193
115200973034
12245055a395
1311c990795c
1483cd2d2db
154b7c2e548
hex2d85e96a1

12220012193 has 2 divisors, whose sum is σ = 12220012194. Its totient is φ = 12220012192.

The previous prime is 12220012187. The next prime is 12220012219. The reversal of 12220012193 is 39121002221.

It is a happy number.

12220012193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10041643264 + 2178368929 = 100208^2 + 46673^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220012193 - 24 = 12220012177 is a prime.

It is not a weakly prime, because it can be changed into another prime (12220012093) 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, 6110006096 + 6110006097.

It is an arithmetic number, because the mean of its divisors is an integer number (6110006097).

Almost surely, 212220012193 is an apocalyptic number.

It is an amenable number.

12220012193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220012193 is an equidigital number, since it uses as much as digits as its factorization.

12220012193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 12220012193 in words is "twelve billion, two hundred twenty million, twelve thousand, one hundred ninety-three".