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231133322112 = 2737117817009
BaseRepresentation
bin1101011101000010011…
…1101001101110000000
3211002121002010022112120
43113100213221232000
512241330112301422
6254103045124240
722461461551650
oct3272047515600
9732532108476
10231133322112
118a028809980
12389660b9680
1318a46431074
14b288c60360
15602b81745c
hex35d09e9b80

231133322112 has 128 divisors (see below), whose sum is σ = 765441619200. Its totient is φ = 60034621440.

The previous prime is 231133322111. The next prime is 231133322149. The reversal of 231133322112 is 211223331132.

231133322112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2311333221122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231133322111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3878937 + ... + 3938072.

It is an arithmetic number, because the mean of its divisors is an integer number (5980012650).

Almost surely, 2231133322112 is an apocalyptic number.

231133322112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

231133322112 is an abundant number, since it is smaller than the sum of its proper divisors (534308297088).

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

231133322112 is a wasteful number, since it uses less digits than its factorization.

231133322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817044 (or 7817032 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 231133322112 its reverse (211223331132), we get a palindrome (442356653244).

The spelling of 231133322112 in words is "two hundred thirty-one billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 7817009 15634018 23451027 31268036 46902054 54719063 62536072 85987099 93804108 109438126 125072144 164157189 171974198 187608216 218876252 250144288 257961297 328314378 343948396 375216432 437752504 500288576 515922594 601909693 656628756 687896792 750432864 875505008 1000577152 1031845188 1203819386 1313257512 1375793584 1500865728 1751010016 1805729079 2063690376 2407638772 2626515024 2751587168 3001731456 3502020032 3611458158 4127380752 4815277544 5253030048 5503174336 7004040064 7222916316 8254761504 9630555088 10506060096 11006348672 14445832632 16509523008 19261110176 21012120192 28891665264 33019046016 38522220352 57783330528 77044440704 115566661056 231133322112