Search a number
-
+
221310332317 is a prime number
BaseRepresentation
bin1100111000011100011…
…1111010110110011101
3210011020111102201202201
43032013013322312131
512111220421113232
6245400224251501
721663163533514
oct3160707726635
9704214381681
10221310332317
1185947a05298
1236a84470b91
1317b3c30b979
14a9d641767b
155b54271be7
hex33871fad9d

221310332317 has 2 divisors, whose sum is σ = 221310332318. Its totient is φ = 221310332316.

The previous prime is 221310332273. The next prime is 221310332381. The reversal of 221310332317 is 713233013122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208720145881 + 12590186436 = 456859^2 + 112206^2 .

It is a cyclic number.

It is not a de Polignac number, because 221310332317 - 215 = 221310299549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221310932317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110655166158 + 110655166159.

It is an arithmetic number, because the mean of its divisors is an integer number (110655166159).

Almost surely, 2221310332317 is an apocalyptic number.

It is an amenable number.

221310332317 is a deficient number, since it is larger than the sum of its proper divisors (1).

221310332317 is an equidigital number, since it uses as much as digits as its factorization.

221310332317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 221310332317 its reverse (713233013122), we get a palindrome (934543345439).

The spelling of 221310332317 in words is "two hundred twenty-one billion, three hundred ten million, three hundred thirty-two thousand, three hundred seventeen".