Search a number
-
+
112201220222197 is a prime number
BaseRepresentation
bin11001100000101111100001…
…110111111110110011110101
3112201021022221221202000202021
4121200233201313332303311
5104201301044334102242
61034344310132313141
732430161555633011
oct3140574167766365
9481238857660667
10112201220222197
11328292a7810177
12107014217727b1
134a7b6b68a9762
141d9c7d4987541
15ce8927d46b67
hex660be1dfecf5

112201220222197 has 2 divisors, whose sum is σ = 112201220222198. Its totient is φ = 112201220222196.

The previous prime is 112201220222111. The next prime is 112201220222237. The reversal of 112201220222197 is 791222022102211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78231743006641 + 33969477215556 = 8844871^2 + 5828334^2 .

It is a cyclic number.

It is not a de Polignac number, because 112201220222197 - 223 = 112201211833589 is a prime.

It is a super-2 number, since 2×1122012202221972 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112201220022197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56100610111098 + 56100610111099.

It is an arithmetic number, because the mean of its divisors is an integer number (56100610111099).

Almost surely, 2112201220222197 is an apocalyptic number.

It is an amenable number.

112201220222197 is a deficient number, since it is larger than the sum of its proper divisors (1).

112201220222197 is an equidigital number, since it uses as much as digits as its factorization.

112201220222197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 112201220222197 in words is "one hundred twelve trillion, two hundred one billion, two hundred twenty million, two hundred twenty-two thousand, one hundred ninety-seven".