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112210220211120 = 24325397392563043
BaseRepresentation
bin11001100000110111111010…
…010100001101101110110000
3112201022012012011210211120100
4121200313322110031232300
5104201423012333223440
61034352355153312400
732430630601366533
oct3140677224155660
9481265164724510
10112210220211120
11328320a5aa4049
1210703113865700
134a7c4bc3549a5
141d9d009d98a1a
15ce8ca3020230
hex660dfa50dbb0

112210220211120 has 120 divisors (see below), whose sum is σ = 377788541276016. Its totient is φ = 29847353209344.

The previous prime is 112210220211119. The next prime is 112210220211211. The reversal of 112210220211120 is 21112022012211.

112210220211120 is a `hidden beast` number, since 1 + 1 + 2 + 210 + 220 + 211 + 1 + 20 = 666.

112210220211120 is digitally balanced in base 4, 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 (120).

It is a super-2 number, since 2×1122102202111202 (a number of 29 digits) contains 22 as substring.

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 = 112210220211093 and 112210220211102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195995682 + ... + 196567361.

Almost surely, 2112210220211120 is an apocalyptic number.

112210220211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210220211120 is an abundant number, since it is smaller than the sum of its proper divisors (265578321064896).

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

112210220211120 is a wasteful number, since it uses less digits than its factorization.

112210220211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392563459 (or 392563450 counting only the distinct ones).

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

Adding to 112210220211120 its reverse (21112022012211), we get a palindrome (133322242223331).

The spelling of 112210220211120 in words is "one hundred twelve trillion, two hundred ten billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 397 720 794 1191 1588 1985 2382 3176 3573 3970 4764 5955 6352 7146 7940 9528 11910 14292 15880 17865 19056 23820 28584 31760 35730 47640 57168 71460 95280 142920 285840 392563043 785126086 1177689129 1570252172 1962815215 2355378258 3140504344 3533067387 3925630430 4710756516 5888445645 6281008688 7066134774 7851260860 9421513032 11776891290 14132269548 15702521720 17665336935 18843026064 23553782580 28264539096 31405043440 35330673870 47107565160 56529078192 70661347740 94215130320 141322695480 155847528071 282645390960 311695056142 467542584213 623390112284 779237640355 935085168426 1246780224568 1402627752639 1558475280710 1870170336852 2337712921065 2493560449136 2805255505278 3116950561420 3740340673704 4675425842130 5610511010556 6233901122840 7013138763195 7480681347408 9350851684260 11221022021112 12467802245680 14026277526390 18701703368520 22442044042224 28052555052780 37403406737040 56105110105560 112210220211120