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218424654317 is a prime number
BaseRepresentation
bin1100101101101100011…
…1111011100111101101
3202212210101112002201202
43023123013323213231
512034313202414232
6244202022215245
721531523633232
oct3133307734755
9685711462652
10218424654317
11846a7028741
12363b9b84525
131779c513aac
14a80108d789
155a35c61162
hex32db1fb9ed

218424654317 has 2 divisors, whose sum is σ = 218424654318. Its totient is φ = 218424654316.

The previous prime is 218424654307. The next prime is 218424654319. The reversal of 218424654317 is 713456424812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190048914916 + 28375739401 = 435946^2 + 168451^2 .

It is a cyclic number.

It is not a de Polignac number, because 218424654317 - 28 = 218424654061 is a prime.

It is a super-2 number, since 2×2184246543172 (a number of 23 digits) contains 22 as substring.

Together with 218424654319, 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 (218424654319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109212327158 + 109212327159.

It is an arithmetic number, because the mean of its divisors is an integer number (109212327159).

Almost surely, 2218424654317 is an apocalyptic number.

It is an amenable number.

218424654317 is a deficient number, since it is larger than the sum of its proper divisors (1).

218424654317 is an equidigital number, since it uses as much as digits as its factorization.

218424654317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1290240, while the sum is 47.

The spelling of 218424654317 in words is "two hundred eighteen billion, four hundred twenty-four million, six hundred fifty-four thousand, three hundred seventeen".