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221313102161 is a prime number
BaseRepresentation
bin1100111000011101001…
…0011111000101010001
3210011020200122110021112
43032013102133011101
512111222123232121
6245400403503105
721663226221044
oct3160722370521
9704220573245
10221313102161
1185949527318
1236a85387a95
1317b3ca6b628
14a9d6938c5b
155b5461c75b
hex338749f151

221313102161 has 2 divisors, whose sum is σ = 221313102162. Its totient is φ = 221313102160.

The previous prime is 221313102097. The next prime is 221313102217. The reversal of 221313102161 is 161201313122.

221313102161 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., 203012423761 + 18300678400 = 450569^2 + 135280^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313102161 - 26 = 221313102097 is a prime.

It is not a weakly prime, because it can be changed into another prime (221313152161) 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, 110656551080 + 110656551081.

It is an arithmetic number, because the mean of its divisors is an integer number (110656551081).

Almost surely, 2221313102161 is an apocalyptic number.

It is an amenable number.

221313102161 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313102161 is an equidigital number, since it uses as much as digits as its factorization.

221313102161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 221313102161 its reverse (161201313122), we get a palindrome (382514415283).

The spelling of 221313102161 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred two thousand, one hundred sixty-one".