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100222000117 is a prime number
BaseRepresentation
bin101110101010110110…
…0100101101111110101
3100120200122101010011021
41131111230211233311
53120223313000432
6114012533141141
710145410642111
oct1352554455765
9316618333137
10100222000117
113955a785078
121751018a7b1
1395b27ca665
144bca72c741
15291898c697
hex1755b25bf5

100222000117 has 2 divisors, whose sum is σ = 100222000118. Its totient is φ = 100222000116.

The previous prime is 100222000097. The next prime is 100222000139. The reversal of 100222000117 is 711000222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54872594001 + 45349406116 = 234249^2 + 212954^2 .

It is an emirp because it is prime and its reverse (711000222001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100222000117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100222000117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222010117) 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, 50111000058 + 50111000059.

It is an arithmetic number, because the mean of its divisors is an integer number (50111000059).

Almost surely, 2100222000117 is an apocalyptic number.

It is an amenable number.

100222000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222000117 is an equidigital number, since it uses as much as digits as its factorization.

100222000117 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 16.

Adding to 100222000117 its reverse (711000222001), we get a palindrome (811222222118).

The spelling of 100222000117 in words is "one hundred billion, two hundred twenty-two million, one hundred seventeen", and thus it is an aban number.