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1331213322312 = 233276924043009
BaseRepresentation
bin10011010111110010011…
…111110100100001001000
311201021002112201111220200
4103113302133310201020
5133302311102303222
62455315001252200
7165114464353146
oct23276237644110
94637075644820
101331213322312
11473623241235
12195bb8794060
13986c0969823
1448606bd0596
152496431beac
hex135f27f4848

1331213322312 has 48 divisors (see below), whose sum is σ = 3610057951500. Its totient is φ = 443160723456.

The previous prime is 1331213322269. The next prime is 1331213322337. The reversal of 1331213322312 is 2132233121331.

1331213322312 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 21 + 3 + 322 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1194968177316 + 136245144996 = 1093146^2 + 369114^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11966137 + ... + 12076872.

Almost surely, 21331213322312 is an apocalyptic number.

1331213322312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331213322312 is an abundant number, since it is smaller than the sum of its proper divisors (2278844629188).

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

1331213322312 is a wasteful number, since it uses less digits than its factorization.

1331213322312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24043790 (or 24043783 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 1331213322312 its reverse (2132233121331), we get a palindrome (3463446443643).

The spelling of 1331213322312 in words is "one trillion, three hundred thirty-one billion, two hundred thirteen million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 769 1538 2307 3076 4614 6152 6921 9228 13842 18456 27684 55368 24043009 48086018 72129027 96172036 144258054 192344072 216387081 288516108 432774162 577032216 865548324 1731096648 18489073921 36978147842 55467221763 73956295684 110934443526 147912591368 166401665289 221868887052 332803330578 443737774104 665606661156 1331213322312