Search a number
-
+
211222100000113 is a prime number
BaseRepresentation
bin110000000001101011111010…
…001111010011110101110001
31000200212122011022121202012221
4300001223322033103311301
5210141130330100000423
62025122032042521041
762330202354406306
oct6001537217236561
91020778138552187
10211222100000113
11613358759a0664
121b834311b06181
1390b220a497937
143a232c040d0ad
151964588ea0e5d
hexc01afa3d3d71

211222100000113 has 2 divisors, whose sum is σ = 211222100000114. Its totient is φ = 211222100000112.

The previous prime is 211222100000099. The next prime is 211222100000237. The reversal of 211222100000113 is 311000001222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132083141664049 + 79138958336064 = 11492743^2 + 8896008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211222100000113 is a prime.

It is a super-2 number, since 2×2112221000001132 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211222100009113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611050000056 + 105611050000057.

It is an arithmetic number, because the mean of its divisors is an integer number (105611050000057).

Almost surely, 2211222100000113 is an apocalyptic number.

It is an amenable number.

211222100000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222100000113 is an equidigital number, since it uses as much as digits as its factorization.

211222100000113 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 16.

Adding to 211222100000113 its reverse (311000001222112), we get a palindrome (522222101222225).

The spelling of 211222100000113 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred million, one hundred thirteen", and thus it is an aban number.