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112022120110212 = 223213599791414361
BaseRepresentation
bin11001011110001000101110…
…101011010001100010000100
3112200122012200011021122210100
4121132020232223101202010
5104140332300222011322
61034130130155324100
732411221365044064
oct3136105653214204
9480565604248710
10112022120110212
113276a3504341a4
1210692779450630
134a6784351c930
141d93c844b93a4
15ce3e44646dac
hex65e22ead1884

112022120110212 has 144 divisors (see below), whose sum is σ = 310150155893760. Its totient is φ = 33880592908800.

The previous prime is 112022120110211. The next prime is 112022120110217. The reversal of 112022120110212 is 212011021220211.

112022120110212 is a `hidden beast` number, since 1 + 1 + 20 + 221 + 201 + 10 + 212 = 666.

112022120110212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (112022120110211) 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, 270141912 + ... + 270556272.

It is an arithmetic number, because the mean of its divisors is an integer number (2153820527040).

Almost surely, 2112022120110212 is an apocalyptic number.

112022120110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022120110212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155075077946880).

112022120110212 is an abundant number, since it is smaller than the sum of its proper divisors (198128035783548).

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

112022120110212 is a wasteful number, since it uses less digits than its factorization.

112022120110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424234 (or 424229 counting only the distinct ones).

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

Adding to 112022120110212 its reverse (212011021220211), we get a palindrome (324033141330423).

The spelling of 112022120110212 in words is "one hundred twelve trillion, twenty-two billion, one hundred twenty million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2124 2301 3068 4602 6903 9204 9791 13806 19582 27612 29373 39164 58746 88119 117492 127283 176238 254566 352476 381849 414361 509132 577669 763698 828722 1145547 1155338 1243083 1527396 1657444 1733007 2291094 2310676 2486166 3466014 3729249 4582188 4972332 5199021 5386693 6932028 7458498 7509697 10398042 10773386 14916996 15019394 16160079 20796084 21546772 22529091 24447299 30038788 32320158 45058182 48480237 48894598 64640316 67587273 73341897 90116364 96960474 97789196 135174546 146683794 193920948 220025691 270349092 293367588 317814887 440051382 635629774 880102764 953444661 1271259548 1906889322 2860333983 3813778644 4057008551 5720667966 8114017102 11441335932 12171025653 16228034204 24342051306 36513076959 48684102612 52741111163 73026153918 105482222326 146052307836 158223333489 210964444652 239363504509 316446666978 474670000467 478727009018 632893333956 718090513527 949340000934 957454018036 1436181027054 1898680001868 2154271540581 2872362054108 3111725558617 4308543081162 6223451117234 8617086162324 9335176675851 12446902234468 18670353351702 28005530027553 37340706703404 56011060055106 112022120110212