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12221200101113 is a prime number
BaseRepresentation
bin1011000111010111100001…
…0010100110111011111001
31121021100001110002111202222
42301311320102212323321
53100213004211213423
641554201455533425
72400644505602333
oct261657022467371
947240043074688
1012221200101113
113991a8893a823
12145467322a275
136a85b9c14b93
1430371b500453
15162d7c66b3c8
hexb1d784a6ef9

12221200101113 has 2 divisors, whose sum is σ = 12221200101114. Its totient is φ = 12221200101112.

The previous prime is 12221200101053. The next prime is 12221200101283. The reversal of 12221200101113 is 31110100212221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6239864112784 + 5981335988329 = 2497972^2 + 2445677^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221200101113 - 222 = 12221195906809 is a prime.

It is a super-2 number, since 2×122212001011132 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12221200101091 and 12221200101100.

It is not a weakly prime, because it can be changed into another prime (12221200161113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110600050556 + 6110600050557.

It is an arithmetic number, because the mean of its divisors is an integer number (6110600050557).

Almost surely, 212221200101113 is an apocalyptic number.

It is an amenable number.

12221200101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221200101113 is an equidigital number, since it uses as much as digits as its factorization.

12221200101113 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 12221200101113 its reverse (31110100212221), we get a palindrome (43331300313334).

The spelling of 12221200101113 in words is "twelve trillion, two hundred twenty-one billion, two hundred million, one hundred one thousand, one hundred thirteen".