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218342321 is a prime number
BaseRepresentation
bin11010000001110…
…10001110110001
3120012211221100122
431000322032301
5421343423241
633355500025
75260610351
oct1500721661
9505757318
10218342321
111022808aa
1261157615
133630a052
1420dd8b61
151427e04b
hexd03a3b1

218342321 has 2 divisors, whose sum is σ = 218342322. Its totient is φ = 218342320.

The previous prime is 218342287. The next prime is 218342323. The reversal of 218342321 is 123243812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200533921 + 17808400 = 14161^2 + 4220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218342321 is a prime.

It is a Sophie Germain prime.

Together with 218342323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (218342323) 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, 109171160 + 109171161.

It is an arithmetic number, because the mean of its divisors is an integer number (109171161).

Almost surely, 2218342321 is an apocalyptic number.

It is an amenable number.

218342321 is a deficient number, since it is larger than the sum of its proper divisors (1).

218342321 is an equidigital number, since it uses as much as digits as its factorization.

218342321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 26.

The square root of 218342321 is about 14776.4109647776. The cubic root of 218342321 is about 602.1610230287.

The spelling of 218342321 in words is "two hundred eighteen million, three hundred forty-two thousand, three hundred twenty-one".