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12220202221 is a prime number
BaseRepresentation
bin10110110000110000…
…10111110011101101
31011112122110121000021
423120120113303231
5200011332432341
65340333202141
7611554001503
oct133030276355
934478417007
1012220202221
115200a92887
122450630351
1311c99732b6
1483cd7c673
154b7c6a9d1
hex2d8617ced

12220202221 has 2 divisors, whose sum is σ = 12220202222. Its totient is φ = 12220202220.

The previous prime is 12220202219. The next prime is 12220202257.

12220202221 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9927133225 + 2293068996 = 99635^2 + 47886^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 12220202221 - 21 = 12220202219 is a prime.

Together with 12220202219, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12220202195 and 12220202204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220202321) 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, 6110101110 + 6110101111.

It is an arithmetic number, because the mean of its divisors is an integer number (6110101111).

Almost surely, 212220202221 is an apocalyptic number.

It is an amenable number.

12220202221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220202221 is an equidigital number, since it uses as much as digits as its factorization.

12220202221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 12220202221 in words is "twelve billion, two hundred twenty million, two hundred two thousand, two hundred twenty-one".