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221331311389 is a prime number
BaseRepresentation
bin1100111000100001011…
…1111100101100011101
3210011021221220120122101
43032020113330230131
512111241303431024
6245402254045101
721663540051136
oct3161027745435
9704257816571
10221331311389
1185958834171
1236a8b4a9791
1317b43775916
14a9d9118c8d
155b56017c44
hex33885fcb1d

221331311389 has 2 divisors, whose sum is σ = 221331311390. Its totient is φ = 221331311388.

The previous prime is 221331311297. The next prime is 221331311393. The reversal of 221331311389 is 983113133122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142332652900 + 78998658489 = 377270^2 + 281067^2 .

It is a cyclic number.

It is not a de Polignac number, because 221331311389 - 27 = 221331311261 is a prime.

It is a super-2 number, since 2×2213313113892 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221331311489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110665655694 + 110665655695.

It is an arithmetic number, because the mean of its divisors is an integer number (110665655695).

Almost surely, 2221331311389 is an apocalyptic number.

It is an amenable number.

221331311389 is a deficient number, since it is larger than the sum of its proper divisors (1).

221331311389 is an equidigital number, since it uses as much as digits as its factorization.

221331311389 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 37.

The spelling of 221331311389 in words is "two hundred twenty-one billion, three hundred thirty-one million, three hundred eleven thousand, three hundred eighty-nine".