Search a number
-
+
12221212022113 is a prime number
BaseRepresentation
bin1011000111010111100100…
…0000000101010101100001
31121021100002021112011022111
42301311321000011111201
53100213020234201423
641554203003235321
72400645012122413
oct261657100052541
947240067464274
1012221212022113
113991a94642196
121454677218b41
136a85bc529c23
1430371cd249b3
15162d7d72360d
hexb1d79005561

12221212022113 has 2 divisors, whose sum is σ = 12221212022114. Its totient is φ = 12221212022112.

The previous prime is 12221212022083. The next prime is 12221212022147. The reversal of 12221212022113 is 31122021212221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12058277085009 + 162934937104 = 3472503^2 + 403652^2 .

It is a cyclic number.

It is not a de Polignac number, because 12221212022113 - 225 = 12221178467681 is a prime.

It is not a weakly prime, because it can be changed into another prime (12221212022213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110606011056 + 6110606011057.

It is an arithmetic number, because the mean of its divisors is an integer number (6110606011057).

Almost surely, 212221212022113 is an apocalyptic number.

It is an amenable number.

12221212022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221212022113 is an equidigital number, since it uses as much as digits as its factorization.

12221212022113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12221212022113 its reverse (31122021212221), we get a palindrome (43343233234334).

The spelling of 12221212022113 in words is "twelve trillion, two hundred twenty-one billion, two hundred twelve million, twenty-two thousand, one hundred thirteen".