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222213001133441 is a prime number
BaseRepresentation
bin110010100001100111111110…
…111111110011110110000001
31002010210100121010011002221102
4302201213332333303312001
5213111214211242232231
62104335124330104145
764543234214526563
oct6241477677636601
91063710533132842
10222213001133441
116489300607134a
1220b0a45057b055
1396cb7998039c6
143cc3249395333
151aa540b94eacb
hexca19feff3d81

222213001133441 has 2 divisors, whose sum is σ = 222213001133442. Its totient is φ = 222213001133440.

The previous prime is 222213001133303. The next prime is 222213001133483. The reversal of 222213001133441 is 144331100312222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206100363590416 + 16112637543025 = 14356196^2 + 4014055^2 .

It is a cyclic number.

It is not a de Polignac number, because 222213001133441 - 234 = 222195821264257 is a prime.

It is not a weakly prime, because it can be changed into another prime (222213001138441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111106500566720 + 111106500566721.

It is an arithmetic number, because the mean of its divisors is an integer number (111106500566721).

Almost surely, 2222213001133441 is an apocalyptic number.

It is an amenable number.

222213001133441 is a deficient number, since it is larger than the sum of its proper divisors (1).

222213001133441 is an equidigital number, since it uses as much as digits as its factorization.

222213001133441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 222213001133441 its reverse (144331100312222), we get a palindrome (366544101445663).

The spelling of 222213001133441 in words is "two hundred twenty-two trillion, two hundred thirteen billion, one million, one hundred thirty-three thousand, four hundred forty-one".