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221323210117 is a prime number
BaseRepresentation
bin1100111000011111100…
…1000010110110000101
3210011021101122222210021
43032013321002312011
512111232220210432
6245401404255141
721663411150232
oct3160771026605
9704241588707
10221323210117
11859542005a9
1236a888414b1
1317b41b9a379
14a9d800a789
155b55467697
hex3387e42d85

221323210117 has 2 divisors, whose sum is σ = 221323210118. Its totient is φ = 221323210116.

The previous prime is 221323210037. The next prime is 221323210123. The reversal of 221323210117 is 711012323122.

221323210117 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., 112824779236 + 108498430881 = 335894^2 + 329391^2 .

It is a cyclic number.

It is not a de Polignac number, because 221323210117 - 223 = 221314821509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221323210091 and 221323210100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221323216117) 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, 110661605058 + 110661605059.

It is an arithmetic number, because the mean of its divisors is an integer number (110661605059).

Almost surely, 2221323210117 is an apocalyptic number.

It is an amenable number.

221323210117 is a deficient number, since it is larger than the sum of its proper divisors (1).

221323210117 is an equidigital number, since it uses as much as digits as its factorization.

221323210117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

Adding to 221323210117 its reverse (711012323122), we get a palindrome (932335533239).

The spelling of 221323210117 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred ten thousand, one hundred seventeen".