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111131585289 = 3252249236329
BaseRepresentation
bin110011101111111110…
…1010110101100001001
3101121211221200110120100
41213133331112230021
53310044141212124
6123015251320013
711012641613634
oct1473775265411
9347757613510
10111131585289
114314897896a
12196558b0009
13a630a892ba
1455435c4c1b
152d5661c1c9
hex19dff56b09

111131585289 has 12 divisors (see below), whose sum is σ = 160527152500. Its totient is φ = 74085992064.

The previous prime is 111131585281. The next prime is 111131585317. The reversal of 111131585289 is 982585131111.

111131585289 is a `hidden beast` number, since 1 + 1 + 11 + 31 + 585 + 28 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42483393225 + 68648192064 = 206115^2 + 262008^2 .

It is not a de Polignac number, because 111131585289 - 23 = 111131585281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111131585281) 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 in 11 ways as a sum of consecutive naturals, for example, 352077 + ... + 588405.

Almost surely, 2111131585289 is an apocalyptic number.

It is an amenable number.

111131585289 is a deficient number, since it is larger than the sum of its proper divisors (49395567211).

111131585289 is a wasteful number, since it uses less digits than its factorization.

111131585289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288584 (or 288581 counting only the distinct ones).

The product of its digits is 86400, while the sum is 45.

The spelling of 111131585289 in words is "one hundred eleven billion, one hundred thirty-one million, five hundred eighty-five thousand, two hundred eighty-nine".

Divisors: 1 3 9 52249 156747 236329 470241 708987 2126961 12347953921 37043861763 111131585289