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218370013 is a prime number
BaseRepresentation
bin11010000010000…
…00111111011101
3120012220100100021
431001000333131
5421400320023
633400232141
75261054161
oct1501007735
9505810307
10218370013
1110229a694
126116b651
1336319834
1421004ca1
151428735d
hexd040fdd

218370013 has 2 divisors, whose sum is σ = 218370014. Its totient is φ = 218370012.

The previous prime is 218370011. The next prime is 218370067. The reversal of 218370013 is 310073812.

218370013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124144164 + 94225849 = 11142^2 + 9707^2 .

It is a cyclic number.

It is not a de Polignac number, because 218370013 - 21 = 218370011 is a prime.

Together with 218370011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 218370013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218370011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109185006 + 109185007.

It is an arithmetic number, because the mean of its divisors is an integer number (109185007).

Almost surely, 2218370013 is an apocalyptic number.

It is an amenable number.

218370013 is a deficient number, since it is larger than the sum of its proper divisors (1).

218370013 is an equidigital number, since it uses as much as digits as its factorization.

218370013 is an evil number, because the sum of its binary digits is even.

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

The square root of 218370013 is about 14777.3479691046. The cubic root of 218370013 is about 602.1864789856.

The spelling of 218370013 in words is "two hundred eighteen million, three hundred seventy thousand, thirteen".