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12221130013 is a prime number
BaseRepresentation
bin10110110000110111…
…11010010100011101
31011112201012201200221
423120123322110131
5200012102130023
65340405121341
7611564614441
oct133033722435
934481181627
1012221130013
115201566954
1224509b9251
1311c9c096a1
1483d140821
154b7da085d
hex2d86fa51d

12221130013 has 2 divisors, whose sum is σ = 12221130014. Its totient is φ = 12221130012.

The previous prime is 12221129959. The next prime is 12221130037. The reversal of 12221130013 is 31003112221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10514861764 + 1706268249 = 102542^2 + 41307^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221130013 - 229 = 11684259101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221130113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110565006 + 6110565007.

It is an arithmetic number, because the mean of its divisors is an integer number (6110565007).

Almost surely, 212221130013 is an apocalyptic number.

It is an amenable number.

12221130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221130013 is an equidigital number, since it uses as much as digits as its factorization.

12221130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12221130013 its reverse (31003112221), we get a palindrome (43224242234).

The spelling of 12221130013 in words is "twelve billion, two hundred twenty-one million, one hundred thirty thousand, thirteen".