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221430313369 is a prime number
BaseRepresentation
bin1100111000111001000…
…1100111000110011001
3210011112212012101211101
43032032101213012121
512111442130011434
6245420152031401
721666151415506
oct3161621470631
9704485171741
10221430313369
11859a9703891
1236ab8692561
1317b5b12a085
14aa0832a4ad
155b5ea71b14
hex338e467199

221430313369 has 2 divisors, whose sum is σ = 221430313370. Its totient is φ = 221430313368.

The previous prime is 221430313303. The next prime is 221430313393. The reversal of 221430313369 is 963313034122.

221430313369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174606979600 + 46823333769 = 417860^2 + 216387^2 .

It is a cyclic number.

It is not a de Polignac number, because 221430313369 - 27 = 221430313241 is a prime.

It is a super-2 number, since 2×2214303133692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (221430310369) 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, 110715156684 + 110715156685.

It is an arithmetic number, because the mean of its divisors is an integer number (110715156685).

Almost surely, 2221430313369 is an apocalyptic number.

It is an amenable number.

221430313369 is a deficient number, since it is larger than the sum of its proper divisors (1).

221430313369 is an equidigital number, since it uses as much as digits as its factorization.

221430313369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 221430313369 in words is "two hundred twenty-one billion, four hundred thirty million, three hundred thirteen thousand, three hundred sixty-nine".