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212110200200117 is a prime number
BaseRepresentation
bin110000001110100111000001…
…001000101101101110110101
31000211000112111112211100200002
4300032213001020231232311
5210300203142222400432
62031042025240201045
762451312331510352
oct6016470110555665
91024015445740602
10212110200200117
11616484813475aa
121b958464a69185
139147ba17a2a6b
143a5428d21b629
15197c716950e62
hexc0e9c122dbb5

212110200200117 has 2 divisors, whose sum is σ = 212110200200118. Its totient is φ = 212110200200116.

The previous prime is 212110200200083. The next prime is 212110200200137. The reversal of 212110200200117 is 711002002011212.

It is a happy number.

It is an a-pointer prime, because the next prime (212110200200137) can be obtained adding 212110200200117 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206688036469201 + 5422163730916 = 14376649^2 + 2328554^2 .

It is a cyclic number.

It is not a de Polignac number, because 212110200200117 - 218 = 212110199937973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212110200200137) 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, 106055100100058 + 106055100100059.

It is an arithmetic number, because the mean of its divisors is an integer number (106055100100059).

Almost surely, 2212110200200117 is an apocalyptic number.

It is an amenable number.

212110200200117 is a deficient number, since it is larger than the sum of its proper divisors (1).

212110200200117 is an equidigital number, since it uses as much as digits as its factorization.

212110200200117 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 212110200200117 its reverse (711002002011212), we get a palindrome (923112202211329).

The spelling of 212110200200117 in words is "two hundred twelve trillion, one hundred ten billion, two hundred million, two hundred thousand, one hundred seventeen".