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221293713349 is a prime number
BaseRepresentation
bin1100111000011000100…
…0100001011111000101
3210011012100011101211101
43032012020201133011
512111202142311344
6245354432140101
721662602345642
oct3160610413705
9704170141741
10221293713349
1185939594205
1236a7a997631
1317b38a40467
14a9d412cdc9
155b52a8c9d4
hex33862217c5

221293713349 has 2 divisors, whose sum is σ = 221293713350. Its totient is φ = 221293713348.

The previous prime is 221293713341. The next prime is 221293713379. The reversal of 221293713349 is 943317392122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129495621025 + 91798092324 = 359855^2 + 302982^2 .

It is a cyclic number.

It is not a de Polignac number, because 221293713349 - 23 = 221293713341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221293713299 and 221293713308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221293713341) 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, 110646856674 + 110646856675.

It is an arithmetic number, because the mean of its divisors is an integer number (110646856675).

Almost surely, 2221293713349 is an apocalyptic number.

It is an amenable number.

221293713349 is a deficient number, since it is larger than the sum of its proper divisors (1).

221293713349 is an equidigital number, since it uses as much as digits as its factorization.

221293713349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 489888, while the sum is 46.

The spelling of 221293713349 in words is "two hundred twenty-one billion, two hundred ninety-three million, seven hundred thirteen thousand, three hundred forty-nine".