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220112122229 is a prime number
BaseRepresentation
bin1100110011111110110…
…1000111000101110101
3210001010222210100112022
43030333231013011311
512101242200402404
6245041302402525
721621404111606
oct3147755070565
9701128710468
10220112122229
118539261131a
12367ab130445
13179aacc310c
14a921231dad
155ad3e8b8be
hex333fb47175

220112122229 has 2 divisors, whose sum is σ = 220112122230. Its totient is φ = 220112122228.

The previous prime is 220112122211. The next prime is 220112122253. The reversal of 220112122229 is 922221211022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 199922554129 + 20189568100 = 447127^2 + 142090^2 .

It is a cyclic number.

It is not a de Polignac number, because 220112122229 - 220 = 220111073653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220112122198 and 220112122207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220112122729) 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, 110056061114 + 110056061115.

It is an arithmetic number, because the mean of its divisors is an integer number (110056061115).

Almost surely, 2220112122229 is an apocalyptic number.

It is an amenable number.

220112122229 is a deficient number, since it is larger than the sum of its proper divisors (1).

220112122229 is an equidigital number, since it uses as much as digits as its factorization.

220112122229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 220112122229 in words is "two hundred twenty billion, one hundred twelve million, one hundred twenty-two thousand, two hundred twenty-nine".