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12223221013 is a prime number
BaseRepresentation
bin10110110001000111…
…11000110100010101
31011112212010222000101
423120203320310111
5200013121033023
65340522014101
7611621443603
oct133043706425
934485128011
1012223221013
115202764953
122451647331
1311ca48c373
1483d526873
154b81651ad
hex2d88f8d15

12223221013 has 2 divisors, whose sum is σ = 12223221014. Its totient is φ = 12223221012.

The previous prime is 12223221011. The next prime is 12223221041. The reversal of 12223221013 is 31012232221.

12223221013 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., 11617175089 + 606045924 = 107783^2 + 24618^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223221013 - 21 = 12223221011 is a prime.

Together with 12223221011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223221011) 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, 6111610506 + 6111610507.

It is an arithmetic number, because the mean of its divisors is an integer number (6111610507).

Almost surely, 212223221013 is an apocalyptic number.

It is an amenable number.

12223221013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223221013 is an equidigital number, since it uses as much as digits as its factorization.

12223221013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12223221013 its reverse (31012232221), we get a palindrome (43235453234).

The spelling of 12223221013 in words is "twelve billion, two hundred twenty-three million, two hundred twenty-one thousand, thirteen".