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218737740131 is a prime number
BaseRepresentation
bin1100101110110111001…
…0010000100101100011
3202220121012122111201122
43023231302100211203
512040433330141011
6244253044522455
721542345053661
oct3135562204543
9686535574648
10218737740131
118484782a749
12364869b042b
131781c343b81
14a8308abc31
155a534a73db
hex32edc90963

218737740131 has 2 divisors, whose sum is σ = 218737740132. Its totient is φ = 218737740130.

The previous prime is 218737740101. The next prime is 218737740161. The reversal of 218737740131 is 131047737812.

218737740131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (218737740101) and next prime (218737740161).

It is a cyclic number.

It is not a de Polignac number, because 218737740131 - 234 = 201557870947 is a prime.

It is a super-2 number, since 2×2187377401312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (218737740101) 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, 109368870065 + 109368870066.

It is an arithmetic number, because the mean of its divisors is an integer number (109368870066).

Almost surely, 2218737740131 is an apocalyptic number.

218737740131 is a deficient number, since it is larger than the sum of its proper divisors (1).

218737740131 is an equidigital number, since it uses as much as digits as its factorization.

218737740131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 197568, while the sum is 44.

The spelling of 218737740131 in words is "two hundred eighteen billion, seven hundred thirty-seven million, seven hundred forty thousand, one hundred thirty-one".