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112310201033334 = 232793971733114797
BaseRepresentation
bin11001100010010101000001…
…101000110010001001110110
3112201122202021000100211211200
4121202111001220302021312
5104210042242431031314
61034510332153313330
732441100323352243
oct3142250150621166
9481582230324750
10112310201033334
1132870541620637
121071a577105846
134a88a63bab315
141da3bb26665ca
15ceb6a571c709
hex662541a32276

112310201033334 has 96 divisors (see below), whose sum is σ = 247184412808320. Its totient is φ = 36848149468416.

The previous prime is 112310201033333. The next prime is 112310201033351. The reversal of 112310201033334 is 433330102013211.

112310201033334 is a `hidden beast` number, since 1 + 1 + 2 + 310 + 2 + 0 + 10 + 3 + 3 + 334 = 666.

112310201033334 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123102010333342 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112310201033298 and 112310201033307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112310201033333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978280024 + ... + 978394820.

It is an arithmetic number, because the mean of its divisors is an integer number (2574837633420).

Almost surely, 2112310201033334 is an apocalyptic number.

112310201033334 is an abundant number, since it is smaller than the sum of its proper divisors (134874211774986).

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

112310201033334 is a wasteful number, since it uses less digits than its factorization.

112310201033334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117014 (or 117011 counting only the distinct ones).

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

Adding to 112310201033334 its reverse (433330102013211), we get a palindrome (545640303046545).

The spelling of 112310201033334 in words is "one hundred twelve trillion, three hundred ten billion, two hundred one million, thirty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 79 158 237 397 474 711 794 1191 1422 1733 2382 3466 3573 5199 7146 10398 15597 31194 31363 62726 94089 114797 136907 188178 229594 273814 282267 344391 410721 564534 688001 688782 821442 1033173 1232163 1376002 2064003 2066346 2464326 4128006 6192009 9068963 12384018 18137926 27206889 45574409 54352079 54413778 81620667 91148818 108704158 136723227 163056237 163241334 198943201 273446454 326112474 397886402 410169681 489168711 596829603 820339362 978337422 1193659206 1790488809 3580977618 3600378311 7200756622 10801134933 15716512879 21602269866 31433025758 32403404799 47149538637 64806809598 78980450797 94299077274 141448615911 157960901594 236941352391 282897231822 473882704782 710824057173 1421648114346 6239455612963 12478911225926 18718366838889 37436733677778 56155100516667 112310201033334