Search a number
-
+
111022112022221 is a prime number
BaseRepresentation
bin11001001111100101011001…
…100011001001111011001101
3112120002121110212122022200002
4121033211121203021323031
5104022441241134202341
61032042504255414045
732246040301410641
oct3117453143117315
9476077425568602
10111022112022221
1132414238994714
12105509b4824325
1349c44566818ca
141d5b6dad68c21
15cc7e1733429b
hex64f9598c9ecd

111022112022221 has 2 divisors, whose sum is σ = 111022112022222. Its totient is φ = 111022112022220.

The previous prime is 111022112022163. The next prime is 111022112022223. The reversal of 111022112022221 is 122220211220111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109661506419721 + 1360605602500 = 10471939^2 + 1166450^2 .

It is an emirp because it is prime and its reverse (122220211220111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111022112022221 - 226 = 111022044913357 is a prime.

Together with 111022112022223, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 111022112022193 and 111022112022202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111022112022223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55511056011110 + 55511056011111.

It is an arithmetic number, because the mean of its divisors is an integer number (55511056011111).

Almost surely, 2111022112022221 is an apocalyptic number.

It is an amenable number.

111022112022221 is a deficient number, since it is larger than the sum of its proper divisors (1).

111022112022221 is an equidigital number, since it uses as much as digits as its factorization.

111022112022221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111022112022221 its reverse (122220211220111), we get a palindrome (233242323242332).

The spelling of 111022112022221 in words is "one hundred eleven trillion, twenty-two billion, one hundred twelve million, twenty-two thousand, two hundred twenty-one".