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221314304413 is a prime number
BaseRepresentation
bin1100111000011101011…
…1000100100110011101
3210011020202220112110101
43032013113010212131
512111222430220123
6245400445341101
721663242356126
oct3160727044635
9704222815411
10221314304413
118594a178614
1236a85867791
1317b4009c917
14a9d6b6d04d
155b547a8aad
hex33875c499d

221314304413 has 2 divisors, whose sum is σ = 221314304414. Its totient is φ = 221314304412.

The previous prime is 221314304329. The next prime is 221314304461. The reversal of 221314304413 is 314403413122.

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., 216431509284 + 4882795129 = 465222^2 + 69877^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221314304413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221314305413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110657152206 + 110657152207.

It is an arithmetic number, because the mean of its divisors is an integer number (110657152207).

Almost surely, 2221314304413 is an apocalyptic number.

It is an amenable number.

221314304413 is a deficient number, since it is larger than the sum of its proper divisors (1).

221314304413 is an equidigital number, since it uses as much as digits as its factorization.

221314304413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 221314304413 its reverse (314403413122), we get a palindrome (535717717535).

The spelling of 221314304413 in words is "two hundred twenty-one billion, three hundred fourteen million, three hundred four thousand, four hundred thirteen".