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12220011102113 is a prime number
BaseRepresentation
bin1011000111010011000101…
…1010111011111110100001
31121021012222120210002202222
42301310301122323332201
53100203040320231423
641553443503320425
72400603160353053
oct261646132737641
947235876702688
1012220011102113
113991528768221
1214543a0bb0115
136a845a7a2a89
143036476358d3
15162d0d0a53c8
hexb1d316bbfa1

12220011102113 has 2 divisors, whose sum is σ = 12220011102114. Its totient is φ = 12220011102112.

The previous prime is 12220011102043. The next prime is 12220011102137. The reversal of 12220011102113 is 31120111002221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7791562247569 + 4428448854544 = 2791337^2 + 2104388^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220011102113 - 214 = 12220011085729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12220011102091 and 12220011102100.

It is not a weakly prime, because it can be changed into another prime (12220011108113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110005551056 + 6110005551057.

It is an arithmetic number, because the mean of its divisors is an integer number (6110005551057).

Almost surely, 212220011102113 is an apocalyptic number.

It is an amenable number.

12220011102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220011102113 is an equidigital number, since it uses as much as digits as its factorization.

12220011102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12220011102113 its reverse (31120111002221), we get a palindrome (43340122104334).

The spelling of 12220011102113 in words is "twelve trillion, two hundred twenty billion, eleven million, one hundred two thousand, one hundred thirteen".