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10222111117 is a prime number
BaseRepresentation
bin10011000010100100…
…10000100110001101
3222101101201001022001
421201102100212031
5131413330023432
64410155152301
7511212340141
oct114122204615
928341631261
1010222111117
11437612a419
121b93445691
13c6ba16a7a
146cd85d221
153ec6339e7
hex26149098d

10222111117 has 2 divisors, whose sum is σ = 10222111118. Its totient is φ = 10222111116.

The previous prime is 10222111111. The next prime is 10222111127. The reversal of 10222111117 is 71111122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10042845796 + 179265321 = 100214^2 + 13389^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222111117 - 27 = 10222110989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10222111094 and 10222111103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111055558 + 5111055559.

It is an arithmetic number, because the mean of its divisors is an integer number (5111055559).

Almost surely, 210222111117 is an apocalyptic number.

It is an amenable number.

10222111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222111117 is an equidigital number, since it uses as much as digits as its factorization.

10222111117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 10222111117 its reverse (71111122201), we get a palindrome (81333233318).

The spelling of 10222111117 in words is "ten billion, two hundred twenty-two million, one hundred eleven thousand, one hundred seventeen".