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218931007 is a prime number
BaseRepresentation
bin11010000110010…
…01111100111111
3120020221211212211
431003021330333
5422021243012
633420241251
75265611551
oct1503117477
9506854784
10218931007
11102643119
12613a0227
1336484c99
142110d4d1
15143486a7
hexd0c9f3f

218931007 has 2 divisors, whose sum is σ = 218931008. Its totient is φ = 218931006.

The previous prime is 218930993. The next prime is 218931047. The reversal of 218931007 is 700139812.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218931007 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 218931007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218931047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109465503 + 109465504.

It is an arithmetic number, because the mean of its divisors is an integer number (109465504).

Almost surely, 2218931007 is an apocalyptic number.

218931007 is a deficient number, since it is larger than the sum of its proper divisors (1).

218931007 is an equidigital number, since it uses as much as digits as its factorization.

218931007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 218931007 is about 14796.3173458804. The cubic root of 218931007 is about 602.7017117005.

It can be divided in two parts, 218 and 931007, that added together give a square (931225 = 9652).

The spelling of 218931007 in words is "two hundred eighteen million, nine hundred thirty-one thousand, seven".