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82713230181 = 3233312759039
BaseRepresentation
bin100110100001000010…
…1111011101101100101
321220111102112110002200
41031002011323231211
52323344041331211
6101555315325113
75655465566451
oct1150205735545
9256442473080
1082713230181
113209550a07a
12140445b0799
137a522a146a
144009253661
1522417b8b56
hex134217bb65

82713230181 has 12 divisors (see below), whose sum is σ = 119510576640. Its totient is φ = 55125579240.

The previous prime is 82713230143. The next prime is 82713230209. The reversal of 82713230181 is 18103231728.

82713230181 is a `hidden beast` number, since 8 + 271 + 3 + 2 + 301 + 81 = 666.

It is not a de Polignac number, because 82713230181 - 211 = 82713228133 is a prime.

It is a super-2 number, since 2×827132301812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82713230681) 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 in 11 ways as a sum of consecutive naturals, for example, 1349541 + ... + 1409498.

It is an arithmetic number, because the mean of its divisors is an integer number (9959214720).

Almost surely, 282713230181 is an apocalyptic number.

It is an amenable number.

82713230181 is a deficient number, since it is larger than the sum of its proper divisors (36797346459).

82713230181 is a wasteful number, since it uses less digits than its factorization.

82713230181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762376 (or 2762373 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 82713230181 in words is "eighty-two billion, seven hundred thirteen million, two hundred thirty thousand, one hundred eighty-one".

Divisors: 1 3 9 3331 9993 29979 2759039 8277117 24831351 9190358909 27571076727 82713230181