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221321032123297 is a prime number
BaseRepresentation
bin110010010100101001010001…
…100000000100001110100001
31002000122002021021002120200211
4302110221101200010032201
5213002110433210421142
62102413251210414121
764421626332166621
oct6224512140041641
91060562237076624
10221321032123297
11645797a4896057
12209a55b9a31341
139665639b1b402
143c91dd0822881
151a8c1044e0917
hexc94a518043a1

221321032123297 has 2 divisors, whose sum is σ = 221321032123298. Its totient is φ = 221321032123296.

The previous prime is 221321032123229. The next prime is 221321032123313. The reversal of 221321032123297 is 792321230123122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220743790787601 + 577241335696 = 14857449^2 + 759764^2 .

It is a cyclic number.

It is not a de Polignac number, because 221321032123297 - 243 = 212524939101089 is a prime.

It is not a weakly prime, because it can be changed into another prime (221321032120297) 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, 110660516061648 + 110660516061649.

It is an arithmetic number, because the mean of its divisors is an integer number (110660516061649).

Almost surely, 2221321032123297 is an apocalyptic number.

It is an amenable number.

221321032123297 is a deficient number, since it is larger than the sum of its proper divisors (1).

221321032123297 is an equidigital number, since it uses as much as digits as its factorization.

221321032123297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 221321032123297 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, thirty-two million, one hundred twenty-three thousand, two hundred ninety-seven".