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221362722121 is a prime number
BaseRepresentation
bin1100111000101000111…
…1110001010101001001
3210011101011000102001211
43032022033301111021
512111322324101441
6245405335213121
721664401043462
oct3161217612511
9704334012054
10221362722121
1185974538552
1236a99b171a1
1317b4a122a58
14a9dd373d69
155b58b6ea81
hex338a3f1549

221362722121 has 2 divisors, whose sum is σ = 221362722122. Its totient is φ = 221362722120.

The previous prime is 221362722029. The next prime is 221362722131. The reversal of 221362722121 is 121227263122.

221362722121 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., 148062574521 + 73300147600 = 384789^2 + 270740^2 .

It is a cyclic number.

It is not a de Polignac number, because 221362722121 - 233 = 212772787529 is a prime.

It is not a weakly prime, because it can be changed into another prime (221362722131) 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, 110681361060 + 110681361061.

It is an arithmetic number, because the mean of its divisors is an integer number (110681361061).

Almost surely, 2221362722121 is an apocalyptic number.

It is an amenable number.

221362722121 is a deficient number, since it is larger than the sum of its proper divisors (1).

221362722121 is an equidigital number, since it uses as much as digits as its factorization.

221362722121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 31.

Adding to 221362722121 its reverse (121227263122), we get a palindrome (342589985243).

The spelling of 221362722121 in words is "two hundred twenty-one billion, three hundred sixty-two million, seven hundred twenty-two thousand, one hundred twenty-one".