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210120112117 is a prime number
BaseRepresentation
bin1100001110110000100…
…0100111011111110101
3202002100122001122110201
43003230020213133311
511420311222041432
6240310003120501
721115654325026
oct3035410473765
9662318048421
10210120112117
1181125364223
1234880973131
1316a77b725b6
14a25418cc4d
1556ebb5aee7
hex30ec2277f5

210120112117 has 2 divisors, whose sum is σ = 210120112118. Its totient is φ = 210120112116.

The previous prime is 210120112099. The next prime is 210120112141. The reversal of 210120112117 is 711211021012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163770758596 + 46349353521 = 404686^2 + 215289^2 .

It is a cyclic number.

It is not a de Polignac number, because 210120112117 - 215 = 210120079349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210120112094 and 210120112103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210120112157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105060056058 + 105060056059.

It is an arithmetic number, because the mean of its divisors is an integer number (105060056059).

Almost surely, 2210120112117 is an apocalyptic number.

It is an amenable number.

210120112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

210120112117 is an equidigital number, since it uses as much as digits as its factorization.

210120112117 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 210120112117 its reverse (711211021012), we get a palindrome (921331133129).

The spelling of 210120112117 in words is "two hundred ten billion, one hundred twenty million, one hundred twelve thousand, one hundred seventeen".