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218135425337 is a prime number
BaseRepresentation
bin1100101100100111100…
…0100111000100111001
3202212001020021202011022
43023021320213010321
512033220132102322
6244113211112225
721521412344114
oct3131170470471
9685036252138
10218135425337
1184568840725
1236339142675
131775461779b
14a7b48c157b
155a1a67d942
hex32c9e27139

218135425337 has 2 divisors, whose sum is σ = 218135425338. Its totient is φ = 218135425336.

The previous prime is 218135425301. The next prime is 218135425349. The reversal of 218135425337 is 733524531812.

218135425337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182554525696 + 35580899641 = 427264^2 + 188629^2 .

It is a cyclic number.

It is not a de Polignac number, because 218135425337 - 212 = 218135421241 is a prime.

It is not a weakly prime, because it can be changed into another prime (218135421337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 109067712668 + 109067712669.

It is an arithmetic number, because the mean of its divisors is an integer number (109067712669).

Almost surely, 2218135425337 is an apocalyptic number.

It is an amenable number.

218135425337 is a deficient number, since it is larger than the sum of its proper divisors (1).

218135425337 is an equidigital number, since it uses as much as digits as its factorization.

218135425337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 604800, while the sum is 44.

The spelling of 218135425337 in words is "two hundred eighteen billion, one hundred thirty-five million, four hundred twenty-five thousand, three hundred thirty-seven".