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218589359981 is a prime number
BaseRepresentation
bin1100101110010011110…
…0001110111101101101
3202220012212110000102112
43023210330032331231
512040132334004411
6244230224333405
721535563621536
oct3134474167555
9686185400375
10218589359981
1184780aa4523
1236445174265
13177c7691375
14a818cc568d
155a45447b8b
hex32e4f0ef6d

218589359981 has 2 divisors, whose sum is σ = 218589359982. Its totient is φ = 218589359980.

The previous prime is 218589359977. The next prime is 218589360019. The reversal of 218589359981 is 189953985812.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 169245846025 + 49343513956 = 411395^2 + 222134^2 .

It is a cyclic number.

It is not a de Polignac number, because 218589359981 - 22 = 218589359977 is a prime.

It is a super-3 number, since 3×2185893599813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (218589355981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109294679990 + 109294679991.

It is an arithmetic number, because the mean of its divisors is an integer number (109294679991).

Almost surely, 2218589359981 is an apocalyptic number.

It is an amenable number.

218589359981 is a deficient number, since it is larger than the sum of its proper divisors (1).

218589359981 is an equidigital number, since it uses as much as digits as its factorization.

218589359981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55987200, while the sum is 68.

It can be divided in two parts, 21858 and 9359981, that added together give a palindrome (9381839).

The spelling of 218589359981 in words is "two hundred eighteen billion, five hundred eighty-nine million, three hundred fifty-nine thousand, nine hundred eighty-one".