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221344123249 is a prime number
BaseRepresentation
bin1100111000100100100…
…0110100100101110001
3210011022212000111012201
43032021020310211301
512111303043420444
6245403432423201
721664054001404
oct3161110644561
9704285014181
10221344123249
1185964a94987
1236a93847b01
1317b463102c2
14a9daad1d3b
155b571e8dd4
hex3389234971

221344123249 has 2 divisors, whose sum is σ = 221344123250. Its totient is φ = 221344123248.

The previous prime is 221344123219. The next prime is 221344123261. The reversal of 221344123249 is 942321443122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119340538849 + 102003584400 = 345457^2 + 319380^2 .

It is a cyclic number.

It is not a de Polignac number, because 221344123249 - 219 = 221343598961 is a prime.

It is not a weakly prime, because it can be changed into another prime (221344123219) 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, 110672061624 + 110672061625.

It is an arithmetic number, because the mean of its divisors is an integer number (110672061625).

Almost surely, 2221344123249 is an apocalyptic number.

It is an amenable number.

221344123249 is a deficient number, since it is larger than the sum of its proper divisors (1).

221344123249 is an equidigital number, since it uses as much as digits as its factorization.

221344123249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 37.

The spelling of 221344123249 in words is "two hundred twenty-one billion, three hundred forty-four million, one hundred twenty-three thousand, two hundred forty-nine".