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218301313 = 972818009
BaseRepresentation
bin11010000001100…
…00001110000001
3120012202212002211
431000300032001
5421341120223
633354542121
75260346656
oct1500601601
9505685084
10218301313
1110225300a
1261137941
13362c4499
1420dc7c2d
1514271d0d
hexd030381

218301313 has 8 divisors (see below), whose sum is σ = 221364360. Its totient is φ = 215255040.

The previous prime is 218301311. The next prime is 218301353. The reversal of 218301313 is 313103812.

It can be written as a sum of positive squares in 4 ways, for example, as 56070144 + 162231169 = 7488^2 + 12737^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 218301313 - 21 = 218301311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (218301311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23253 + ... + 31261.

It is an arithmetic number, because the mean of its divisors is an integer number (27670545).

Almost surely, 2218301313 is an apocalyptic number.

It is an amenable number.

218301313 is a deficient number, since it is larger than the sum of its proper divisors (3063047).

218301313 is an equidigital number, since it uses as much as digits as its factorization.

218301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8387.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 218301313 is about 14775.0232825536. The cubic root of 218301313 is about 602.1233223435.

The spelling of 218301313 in words is "two hundred eighteen million, three hundred one thousand, three hundred thirteen".

Divisors: 1 97 281 8009 27257 776873 2250529 218301313