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22112202221 is a prime number
BaseRepresentation
bin10100100101111111…
…010110110111101101
32010002001000020222122
4110211333112313231
5330241210432341
614054101122325
71411650421604
oct244577266755
963061006878
1022112202221
11941784189a
1243513b93a5
132115178835
1410daa2aa3b
158963e394b
hex525fd6ded

22112202221 has 2 divisors, whose sum is σ = 22112202222. Its totient is φ = 22112202220.

The previous prime is 22112202197. The next prime is 22112202227. The reversal of 22112202221 is 12220221122.

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., 12185068996 + 9927133225 = 110386^2 + 99635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22112202221 is a prime.

It is a super-3 number, since 3×221122022213 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22112202221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22112202227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11056101110 + 11056101111.

It is an arithmetic number, because the mean of its divisors is an integer number (11056101111).

Almost surely, 222112202221 is an apocalyptic number.

It is an amenable number.

22112202221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112202221 is an equidigital number, since it uses as much as digits as its factorization.

22112202221 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 17.

Adding to 22112202221 its reverse (12220221122), we get a palindrome (34332423343).

The spelling of 22112202221 in words is "twenty-two billion, one hundred twelve million, two hundred two thousand, two hundred twenty-one".