Search a number
-
+
221322030113 is a prime number
BaseRepresentation
bin1100111000011111010…
…0100010110000100001
3210011021022110001010102
43032013310202300201
512111231414430423
6245401323112145
721663365134052
oct3160764426041
9704238401112
10221322030113
1185953574a98
1236a88372655
1317b41876242
14a9d7bc0729
155b552d2c28
hex3387d22c21

221322030113 has 2 divisors, whose sum is σ = 221322030114. Its totient is φ = 221322030112.

The previous prime is 221322030079. The next prime is 221322030191. The reversal of 221322030113 is 311030223122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220591787584 + 730242529 = 469672^2 + 27023^2 .

It is a cyclic number.

It is not a de Polignac number, because 221322030113 - 224 = 221305252897 is a prime.

It is not a weakly prime, because it can be changed into another prime (221322035113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110661015056 + 110661015057.

It is an arithmetic number, because the mean of its divisors is an integer number (110661015057).

Almost surely, 2221322030113 is an apocalyptic number.

It is an amenable number.

221322030113 is a deficient number, since it is larger than the sum of its proper divisors (1).

221322030113 is an equidigital number, since it uses as much as digits as its factorization.

221322030113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 221322030113 its reverse (311030223122), we get a palindrome (532352253235).

The spelling of 221322030113 in words is "two hundred twenty-one billion, three hundred twenty-two million, thirty thousand, one hundred thirteen".