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218106017 is a prime number
BaseRepresentation
bin11010000000000…
…00100010100001
3120012101221012122
431000000202201
5421313343032
633350434025
75255604413
oct1500004241
9505357178
10218106017
1110212a308
1261062915
133625661c
1420d769b3
1514234012
hexd0008a1

218106017 has 2 divisors, whose sum is σ = 218106018. Its totient is φ = 218106016.

The previous prime is 218106011. The next prime is 218106023. The reversal of 218106017 is 710601812.

It is a balanced prime because it is at equal distance from previous prime (218106011) and next prime (218106023).

It can be written as a sum of positive squares in only one way, i.e., 217975696 + 130321 = 14764^2 + 361^2 .

It is a cyclic number.

It is not a de Polignac number, because 218106017 - 212 = 218101921 is a prime.

It is not a weakly prime, because it can be changed into another prime (218106011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109053008 + 109053009.

It is an arithmetic number, because the mean of its divisors is an integer number (109053009).

Almost surely, 2218106017 is an apocalyptic number.

It is an amenable number.

218106017 is a deficient number, since it is larger than the sum of its proper divisors (1).

218106017 is an equidigital number, since it uses as much as digits as its factorization.

218106017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 218106017 is about 14768.4128124860. The cubic root of 218106017 is about 601.9437122458.

Adding to 218106017 its reverse (710601812), we get a palindrome (928707829).

The spelling of 218106017 in words is "two hundred eighteen million, one hundred six thousand, seventeen".