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1031132310012 = 223375325734559
BaseRepresentation
bin11110000000101000100…
…01100110100111111100
310122120112101100122012000
433000110101212213330
5113343224332410022
62105410131542300
7134332264010160
oct17002421464774
93576471318160
101031132310012
11368334342222
12147a1015a990
137630a114b5c
1437c9b000ca0
151bc4e9a96ac
hexf0144669fc

1031132310012 has 96 divisors (see below), whose sum is σ = 3112852377600. Its totient is φ = 289050555456.

The previous prime is 1031132309981. The next prime is 1031132310031. The reversal of 1031132310012 is 2100132311301.

1031132310012 is a `hidden beast` number, since 1 + 0 + 311 + 32 + 310 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12827212 + ... + 12907347.

It is an arithmetic number, because the mean of its divisors is an integer number (32425545600).

Almost surely, 21031132310012 is an apocalyptic number.

1031132310012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1031132310012 is an abundant number, since it is smaller than the sum of its proper divisors (2081720067588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1031132310012 is a wasteful number, since it uses less digits than its factorization.

1031132310012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25734632 (or 25734624 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1031132310012 its reverse (2100132311301), we get a palindrome (3131264621313).

The spelling of 1031132310012 in words is "one trillion, thirty-one billion, one hundred thirty-two million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3339 4452 5724 6678 10017 13356 20034 40068 25734559 51469118 77203677 102938236 154407354 180141913 231611031 308814708 360283826 463222062 540425739 694833093 720567652 926444124 1080851478 1363931627 1389666186 1621277217 2161702956 2727863254 2779332372 3242554434 4091794881 4863831651 5455726508 6485108868 8183589762 9547521389 9727663302 12275384643 16367179524 19095042778 19455326604 24550769286 28642564167 36826153929 38190085556 49101538572 57285128334 73652307858 85927692501 114570256668 147304615716 171855385002 257783077503 343710770004 515566155006 1031132310012