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12220141313 is a prime number
BaseRepresentation
bin10110110000110000…
…01000111100000001
31011112122100111110102
423120120020330001
5200011324010223
65340332012145
7611553326102
oct133030107401
934478314412
1012220141313
115200a51046
122450601055
1311c9951663
1483cd643a9
154b7c57928
hex2d8608f01

12220141313 has 2 divisors, whose sum is σ = 12220141314. Its totient is φ = 12220141312.

The previous prime is 12220141243. The next prime is 12220141321. The reversal of 12220141313 is 31314102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10121768449 + 2098372864 = 100607^2 + 45808^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220141313 - 28 = 12220141057 is a prime.

It is not a weakly prime, because it can be changed into another prime (12220141013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110070656 + 6110070657.

It is an arithmetic number, because the mean of its divisors is an integer number (6110070657).

Almost surely, 212220141313 is an apocalyptic number.

It is an amenable number.

12220141313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220141313 is an equidigital number, since it uses as much as digits as its factorization.

12220141313 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 20.

Adding to 12220141313 its reverse (31314102221), we get a palindrome (43534243534).

The spelling of 12220141313 in words is "twelve billion, two hundred twenty million, one hundred forty-one thousand, three hundred thirteen".