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112022110101120 = 273573799244507
BaseRepresentation
bin11001011110001000101110…
…000101000101111010000000
3112200122012122110110010220020
4121132020232011011322000
5104140332240141213440
61034130125201013440
732411221214006052
oct3136105605057200
9480565573403806
10112022110101120
113276a34581821a
1210692776024280
134a67841426bab
141d93c830318d2
15ce3e4381b3d0
hex65e22e145e80

112022110101120 has 128 divisors (see below), whose sum is σ = 361961852783040. Its totient is φ = 29463349469184.

The previous prime is 112022110101073. The next prime is 112022110101133. The reversal of 112022110101120 is 21101011220211.

It is a happy number.

112022110101120 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 Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112022110101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399482094 + ... + 399762413.

Almost surely, 2112022110101120 is an apocalyptic number.

112022110101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112022110101120 is an abundant number, since it is smaller than the sum of its proper divisors (249939742681920).

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

112022110101120 is an equidigital number, since it uses as much as digits as its factorization.

112022110101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799244602 (or 799244590 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112022110101120 its reverse (21101011220211), we get a palindrome (133123121321331).

The spelling of 112022110101120 in words is "one hundred twelve trillion, twenty-two billion, one hundred ten million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 876 960 1095 1168 1460 1752 1920 2190 2336 2920 3504 4380 4672 5840 7008 8760 9344 11680 14016 17520 23360 28032 35040 46720 70080 140160 799244507 1598489014 2397733521 3196978028 3996222535 4795467042 6393956056 7992445070 9590934084 11988667605 12787912112 15984890140 19181868168 23977335210 25575824224 31969780280 38363736336 47954670420 51151648448 58344849011 63939560560 76727472672 95909340840 102303296896 116689698022 127879121120 153454945344 175034547033 191818681680 233379396044 255758242240 291724245055 306909890688 350069094066 383637363360 466758792088 511516484480 583448490110 700138188132 767274726720 875172735165 933517584176 1166896980220 1400276376264 1534549453440 1750345470330 1867035168352 2333793960440 2800552752528 3500690940660 3734070336704 4667587920880 5601105505056 7001381881320 7468140673408 9335175841760 11202211010112 14002763762640 18670351683520 22404422020224 28005527525280 37340703367040 56011055050560 112022110101120