Search a number
-
+
12220002105617 is a prime number
BaseRepresentation
bin1011000111010011000011…
…1000100111100100010001
31121021012221221212000220102
42301310300320213210101
53100203031014334432
641553442542422145
72400603021033155
oct261646070474421
947235857760812
1012220002105617
113991523682aa9
121454399b91955
136a8458972bc7
14303646373065
15162d0c3c9962
hexb1d30e27911

12220002105617 has 2 divisors, whose sum is σ = 12220002105618. Its totient is φ = 12220002105616.

The previous prime is 12220002105611. The next prime is 12220002105653. The reversal of 12220002105617 is 71650120002221.

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., 11931193672336 + 288808433281 = 3454156^2 + 537409^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220002105617 - 212 = 12220002101521 is a prime.

It is a super-2 number, since 2×122200021056172 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12220002105617.

It is not a weakly prime, because it can be changed into another prime (12220002105611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110001052808 + 6110001052809.

It is an arithmetic number, because the mean of its divisors is an integer number (6110001052809).

Almost surely, 212220002105617 is an apocalyptic number.

It is an amenable number.

12220002105617 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220002105617 is an equidigital number, since it uses as much as digits as its factorization.

12220002105617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 12220002105617 its reverse (71650120002221), we get a palindrome (83870122107838).

The spelling of 12220002105617 in words is "twelve trillion, two hundred twenty billion, two million, one hundred five thousand, six hundred seventeen".