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112223322221 is a prime number
BaseRepresentation
bin110100010000100001…
…0000000000001101101
3101201200000222110002112
41220201002000001231
53314313132302341
6123315451133405
711051666333303
oct1504102000155
9351600873075
10112223322221
1143659159a9a
12198bb444265
13a776005b9a
1456085b2273
152dbc3beaeb
hex1a2108006d

112223322221 has 2 divisors, whose sum is σ = 112223322222. Its totient is φ = 112223322220.

The previous prime is 112223322209. The next prime is 112223322223. The reversal of 112223322221 is 122223322211.

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., 104336106121 + 7887216100 = 323011^2 + 88810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112223322221 is a prime.

Together with 112223322223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112223322223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56111661110 + 56111661111.

It is an arithmetic number, because the mean of its divisors is an integer number (56111661111).

Almost surely, 2112223322221 is an apocalyptic number.

It is an amenable number.

112223322221 is a deficient number, since it is larger than the sum of its proper divisors (1).

112223322221 is an equidigital number, since it uses as much as digits as its factorization.

112223322221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 23.

Adding to 112223322221 its reverse (122223322211), we get a palindrome (234446644432).

The spelling of 112223322221 in words is "one hundred twelve billion, two hundred twenty-three million, three hundred twenty-two thousand, two hundred twenty-one".