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112210022117 is a prime number
BaseRepresentation
bin110100010000000111…
…1010000111011100101
3101201122002221201210002
41220200033100323211
53314301231201432
6123314254111045
711051445310424
oct1504017207345
9351562851702
10112210022117
11436516a5476
12198b6aab485
13a77332a1bb
14560690d2bb
152dbb143e62
hex1a203d0ee5

112210022117 has 2 divisors, whose sum is σ = 112210022118. Its totient is φ = 112210022116.

The previous prime is 112210022069. The next prime is 112210022147. The reversal of 112210022117 is 711220012211.

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., 81859504321 + 30350517796 = 286111^2 + 174214^2 .

It is a cyclic number.

It is not a de Polignac number, because 112210022117 - 224 = 112193244901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112210022147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56105011058 + 56105011059.

It is an arithmetic number, because the mean of its divisors is an integer number (56105011059).

Almost surely, 2112210022117 is an apocalyptic number.

It is an amenable number.

112210022117 is a deficient number, since it is larger than the sum of its proper divisors (1).

112210022117 is an equidigital number, since it uses as much as digits as its factorization.

112210022117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 112210022117 its reverse (711220012211), we get a palindrome (823430034328).

The spelling of 112210022117 in words is "one hundred twelve billion, two hundred ten million, twenty-two thousand, one hundred seventeen".