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218782005217 is a prime number
BaseRepresentation
bin1100101111000001101…
…1000111011111100001
3202220201021221102000021
43023300123013133201
512041031143131332
6244301305353441
721543423234466
oct3136033073741
9686637842007
10218782005217
118486a813766
1236499798881
1317828571b29
14a83671166d
155a572ecc97
hex32f06c77e1

218782005217 has 2 divisors, whose sum is σ = 218782005218. Its totient is φ = 218782005216.

The previous prime is 218782005199. The next prime is 218782005227. The reversal of 218782005217 is 712500287812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212038146576 + 6743858641 = 460476^2 + 82121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-218782005217 is a prime.

It is not a weakly prime, because it can be changed into another prime (218782005227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109391002608 + 109391002609.

It is an arithmetic number, because the mean of its divisors is an integer number (109391002609).

Almost surely, 2218782005217 is an apocalyptic number.

It is an amenable number.

218782005217 is a deficient number, since it is larger than the sum of its proper divisors (1).

218782005217 is an equidigital number, since it uses as much as digits as its factorization.

218782005217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125440, while the sum is 43.

The spelling of 218782005217 in words is "two hundred eighteen billion, seven hundred eighty-two million, five thousand, two hundred seventeen".