Search a number
-
+
221130232300013 is a prime number
BaseRepresentation
bin110010010001110111100100…
…111100100000000111101101
31001222221211210002120022001012
4302101313210330200013231
5212440444203432100023
62102145454252155005
764402063204355351
oct6221674474400755
91058854702508035
10221130232300013
1164505894309893
122097462b468a65
1396506508990aa
143c86a90583461
151a87188ad9978
hexc91de4f201ed

221130232300013 has 2 divisors, whose sum is σ = 221130232300014. Its totient is φ = 221130232300012.

The previous prime is 221130232299979. The next prime is 221130232300049. The reversal of 221130232300013 is 310003232031122.

221130232300013 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., 220898156945449 + 232075354564 = 14862643^2 + 481742^2 .

It is a cyclic number.

It is not a de Polignac number, because 221130232300013 - 220 = 221130231251437 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221130232300073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110565116150006 + 110565116150007.

It is an arithmetic number, because the mean of its divisors is an integer number (110565116150007).

Almost surely, 2221130232300013 is an apocalyptic number.

It is an amenable number.

221130232300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221130232300013 is an equidigital number, since it uses as much as digits as its factorization.

221130232300013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 221130232300013 its reverse (310003232031122), we get a palindrome (531133464331135).

The spelling of 221130232300013 in words is "two hundred twenty-one trillion, one hundred thirty billion, two hundred thirty-two million, three hundred thousand, thirteen".