Search a number
-
+
111022220113249 is a prime number
BaseRepresentation
bin11001001111100101011111…
…111111011111010101100001
3112120002121202102000220200111
4121033211133333133111201
5104022442001322110444
61032042523120251321
732246043053232064
oct3117453777372541
9476077672026614
10111022220113249
1132414293a02045
1210550a24a70b41
1349c4472b990b3
141d5b70b4648db
15cc7e21a86234
hex64f95ffdf561

111022220113249 has 2 divisors, whose sum is σ = 111022220113250. Its totient is φ = 111022220113248.

The previous prime is 111022220113193. The next prime is 111022220113267. The reversal of 111022220113249 is 942311022220111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91148741424225 + 19873478689024 = 9547185^2 + 4457968^2 .

It is a cyclic number.

It is not a de Polignac number, because 111022220113249 - 227 = 111022085895521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111022220113249.

It is not a weakly prime, because it can be changed into another prime (111022220113949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55511110056624 + 55511110056625.

It is an arithmetic number, because the mean of its divisors is an integer number (55511110056625).

Almost surely, 2111022220113249 is an apocalyptic number.

It is an amenable number.

111022220113249 is a deficient number, since it is larger than the sum of its proper divisors (1).

111022220113249 is an equidigital number, since it uses as much as digits as its factorization.

111022220113249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 111022220113249 in words is "one hundred eleven trillion, twenty-two billion, two hundred twenty million, one hundred thirteen thousand, two hundred forty-nine".