Search a number
-
+
222113122130033 is a prime number
BaseRepresentation
bin110010100000001010111101…
…101111101001100001110001
31002010102210210101012000210222
4302200022331233221201301
5213103100133231130113
62104221205404302425
764533100140153041
oct6240127557514161
91063383711160728
10222113122130033
1164854711a68832
1220ab3017241a15
1396c22400a99a4
143cbc49242d721
151aa2a13165e08
hexca02bdbe9871

222113122130033 has 2 divisors, whose sum is σ = 222113122130034. Its totient is φ = 222113122130032.

The previous prime is 222113122130021. The next prime is 222113122130087. The reversal of 222113122130033 is 330031221311222.

222113122130033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195465928313569 + 26647193816464 = 13980913^2 + 5162092^2 .

It is a cyclic number.

It is not a de Polignac number, because 222113122130033 - 28 = 222113122129777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222113122129984 and 222113122130011.

It is not a weakly prime, because it can be changed into another prime (222113122130833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056561065016 + 111056561065017.

It is an arithmetic number, because the mean of its divisors is an integer number (111056561065017).

Almost surely, 2222113122130033 is an apocalyptic number.

It is an amenable number.

222113122130033 is a deficient number, since it is larger than the sum of its proper divisors (1).

222113122130033 is an equidigital number, since it uses as much as digits as its factorization.

222113122130033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 222113122130033 its reverse (330031221311222), we get a palindrome (552144343441255).

The spelling of 222113122130033 in words is "two hundred twenty-two trillion, one hundred thirteen billion, one hundred twenty-two million, one hundred thirty thousand, thirty-three".