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221331311297 is a prime number
BaseRepresentation
bin1100111000100001011…
…1111100101011000001
3210011021221220120111222
43032020113330223001
512111241303430142
6245402254044425
721663540050645
oct3161027745301
9704257816458
10221331311297
1185958834098
1236a8b4a9715
1317b43775875
14a9d9118c25
155b56017bd2
hex33885fcac1

221331311297 has 2 divisors, whose sum is σ = 221331311298. Its totient is φ = 221331311296.

The previous prime is 221331311291. The next prime is 221331311389. The reversal of 221331311297 is 792113133122.

221331311297 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., 165135764161 + 56195547136 = 406369^2 + 237056^2 .

It is a cyclic number.

It is not a de Polignac number, because 221331311297 - 226 = 221264202433 is a prime.

It is not a weakly prime, because it can be changed into another prime (221331311291) 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, 110665655648 + 110665655649.

It is an arithmetic number, because the mean of its divisors is an integer number (110665655649).

Almost surely, 2221331311297 is an apocalyptic number.

It is an amenable number.

221331311297 is a deficient number, since it is larger than the sum of its proper divisors (1).

221331311297 is an equidigital number, since it uses as much as digits as its factorization.

221331311297 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 35.

The spelling of 221331311297 in words is "two hundred twenty-one billion, three hundred thirty-one million, three hundred eleven thousand, two hundred ninety-seven".