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220221012222221 is a prime number
BaseRepresentation
bin110010000100101000110011…
…001101001010000100001101
31001212201220220222120201211012
4302010220303031022010031
5212331100113112102341
62100212045242335005
764246304656254503
oct6204506315120415
91055656828521735
10220221012222221
116419523028209a
12208483834ba465
1395b59a1b95a6a
143c54a7a858673
151a6d6c1e0d0eb
hexc84a3334a10d

220221012222221 has 2 divisors, whose sum is σ = 220221012222222. Its totient is φ = 220221012222220.

The previous prime is 220221012222199. The next prime is 220221012222247. The reversal of 220221012222221 is 122222210122022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214438242564100 + 5782769658121 = 14643710^2 + 2404739^2 .

It is a cyclic number.

It is not a de Polignac number, because 220221012222221 - 242 = 215822965711117 is a prime.

It is a super-2 number, since 2×2202210122222212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220221012252221) 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, 110110506111110 + 110110506111111.

It is an arithmetic number, because the mean of its divisors is an integer number (110110506111111).

Almost surely, 2220221012222221 is an apocalyptic number.

It is an amenable number.

220221012222221 is a deficient number, since it is larger than the sum of its proper divisors (1).

220221012222221 is an equidigital number, since it uses as much as digits as its factorization.

220221012222221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 220221012222221 its reverse (122222210122022), we get a palindrome (342443222344243).

The spelling of 220221012222221 in words is "two hundred twenty trillion, two hundred twenty-one billion, twelve million, two hundred twenty-two thousand, two hundred twenty-one".