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210011117 is a prime number
BaseRepresentation
bin11001000010010…
…00001111101101
3112122011200002112
430201020033231
5412230323432
632501133405
75130031211
oct1441101755
9478150075
10210011117
11a8600508
125a3ba265
1334680c44
141dc6a941
15136857b2
hexc8483ed

210011117 has 2 divisors, whose sum is σ = 210011118. Its totient is φ = 210011116.

The previous prime is 210011083. The next prime is 210011119. The reversal of 210011117 is 711110012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208109476 + 1901641 = 14426^2 + 1379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210011117 is a prime.

Together with 210011119, 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 (210011119) 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, 105005558 + 105005559.

It is an arithmetic number, because the mean of its divisors is an integer number (105005559).

Almost surely, 2210011117 is an apocalyptic number.

It is an amenable number.

210011117 is a deficient number, since it is larger than the sum of its proper divisors (1).

210011117 is an equidigital number, since it uses as much as digits as its factorization.

210011117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 14.

The square root of 210011117 is about 14491.7603140543. The cubic root of 210011117 is about 594.4026837548.

Adding to 210011117 its reverse (711110012), we get a palindrome (921121129).

The spelling of 210011117 in words is "two hundred ten million, eleven thousand, one hundred seventeen".