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112111200021222 = 23237401733572699
BaseRepresentation
bin11001011111011011101100…
…010000001010101011100110
3112200221201121021212000002200
4121133123230100022223212
5104143312214201134342
61034235101351115330
732420524022562333
oct3137335420125346
9480851537760080
10112111200021222
11327a4102751866
12106a7a9a072b46
134a7306b83374c
141d982d510b98a
15ce6409d2994c
hex65f6ec40aae6

112111200021222 has 96 divisors (see below), whose sum is σ = 250436427415200. Its totient is φ = 36220170470400.

The previous prime is 112111200021221. The next prime is 112111200021269. The reversal of 112111200021222 is 222120002111211.

112111200021222 is a `hidden beast` number, since 11 + 211 + 1 + 200 + 0 + 21 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112111200021195 and 112111200021204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111200021221) 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, 195473029 + ... + 196045727.

It is an arithmetic number, because the mean of its divisors is an integer number (2608712785575).

Almost surely, 2112111200021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112111200021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125218213707600).

112111200021222 is an abundant number, since it is smaller than the sum of its proper divisors (138325227393978).

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

112111200021222 is a wasteful number, since it uses less digits than its factorization.

112111200021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573878 (or 573875 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112111200021222 its reverse (222120002111211), we get a palindrome (334231202132433).

The spelling of 112111200021222 in words is "one hundred twelve trillion, one hundred eleven billion, two hundred million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 401 666 733 802 1203 1466 2199 2406 3609 4398 6597 7218 13194 14837 27121 29674 44511 54242 81363 89022 133533 162726 244089 267066 293933 488178 572699 587866 881799 1145398 1718097 1763598 2645397 3436194 5154291 5290794 10308582 10875521 21189863 21751042 32626563 42379726 63569589 65253126 97879689 127139178 190708767 195759378 229652299 381417534 419788367 459304598 688956897 839576734 1259365101 1377913794 2066870691 2518730202 3778095303 4133741382 7556190606 8497135063 15532169579 16994270126 25491405189 31064339158 46596508737 50982810378 76474215567 93193017474 139789526211 152948431134 168335135167 279579052422 336670270334 505005405501 1010010811002 1515016216503 3030032433006 6228400001179 12456800002358 18685200003537 37370400007074 56055600010611 112111200021222