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218730013 is a prime number
BaseRepresentation
bin11010000100110…
…00111000011101
3120020120122011121
431002120320131
5421443330023
633412050541
75264113555
oct1502307035
9506518147
10218730013
11102516107
1261303a51
1336414658
142109a165
1514308d5d
hexd098e1d

218730013 has 2 divisors, whose sum is σ = 218730014. Its totient is φ = 218730012.

The previous prime is 218729981. The next prime is 218730059. The reversal of 218730013 is 310037812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110944089 + 107785924 = 10533^2 + 10382^2 .

It is a cyclic number.

It is not a de Polignac number, because 218730013 - 25 = 218729981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 218730013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218730073) 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, 109365006 + 109365007.

It is an arithmetic number, because the mean of its divisors is an integer number (109365007).

Almost surely, 2218730013 is an apocalyptic number.

It is an amenable number.

218730013 is a deficient number, since it is larger than the sum of its proper divisors (1).

218730013 is an equidigital number, since it uses as much as digits as its factorization.

218730013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 218730013 is about 14789.5237583906. The cubic root of 218730013 is about 602.5172144321.

Adding to 218730013 its reverse (310037812), we get a palindrome (528767825).

The spelling of 218730013 in words is "two hundred eighteen million, seven hundred thirty thousand, thirteen".