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221322044201 is a prime number
BaseRepresentation
bin1100111000011111010…
…0100110001100101001
3210011021022110202110012
43032013310212030221
512111231420403301
6245401323301305
721663365223116
oct3160764461451
9704238422405
10221322044201
1185953584635
1236a8837a835
1317b4187c78b
14a9d7bc590d
155b552d6ebb
hex3387d26329

221322044201 has 2 divisors, whose sum is σ = 221322044202. Its totient is φ = 221322044200.

The previous prime is 221322044197. The next prime is 221322044219. The reversal of 221322044201 is 102440223122.

221322044201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112899360025 + 108422684176 = 336005^2 + 329276^2 .

It is a cyclic number.

It is not a de Polignac number, because 221322044201 - 22 = 221322044197 is a prime.

It is not a weakly prime, because it can be changed into another prime (221322044291) 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, 110661022100 + 110661022101.

It is an arithmetic number, because the mean of its divisors is an integer number (110661022101).

Almost surely, 2221322044201 is an apocalyptic number.

It is an amenable number.

221322044201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221322044201 is an equidigital number, since it uses as much as digits as its factorization.

221322044201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 221322044201 its reverse (102440223122), we get a palindrome (323762267323).

The spelling of 221322044201 in words is "two hundred twenty-one billion, three hundred twenty-two million, forty-four thousand, two hundred one".