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221323210021 is a prime number
BaseRepresentation
bin1100111000011111100…
…1000010110100100101
3210011021101122222122201
43032013321002310211
512111232220210041
6245401404254501
721663411150034
oct3160771026445
9704241588581
10221323210021
1185954200521
1236a88841431
1317b41b9a304
14a9d800a71b
155b55467631
hex3387e42d25

221323210021 has 2 divisors, whose sum is σ = 221323210022. Its totient is φ = 221323210020.

The previous prime is 221323209953. The next prime is 221323210037. The reversal of 221323210021 is 120012323122.

221323210021 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., 189581868100 + 31741341921 = 435410^2 + 178161^2 .

It is a cyclic number.

It is not a de Polignac number, because 221323210021 - 29 = 221323209509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221323217021) 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, 110661605010 + 110661605011.

It is an arithmetic number, because the mean of its divisors is an integer number (110661605011).

Almost surely, 2221323210021 is an apocalyptic number.

It is an amenable number.

221323210021 is a deficient number, since it is larger than the sum of its proper divisors (1).

221323210021 is an equidigital number, since it uses as much as digits as its factorization.

221323210021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 221323210021 its reverse (120012323122), we get a palindrome (341335533143).

It can be divided in two parts, 22132 and 3210021, that added together give a triangular number (3232153 = T2542).

The spelling of 221323210021 in words is "two hundred twenty-one billion, three hundred twenty-three million, two hundred ten thousand, twenty-one".