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110212202120112 = 243319109123187271
BaseRepresentation
bin11001000011110011000111…
…001010000100001110110000
3112110020011221212021101122000
4121003303013022010032300
5103421204042220320422
61030222441531414000
732133366053005011
oct3103630712041660
9473204855241560
10110212202120112
1132131806963884
121043ba435b4300
134965c735a2441
141d30428815008
15cb1d1402ecac
hex643cc72843b0

110212202120112 has 160 divisors (see below), whose sum is σ = 336054878016000. Its totient is φ = 34484551614720.

The previous prime is 110212202120077. The next prime is 110212202120123. The reversal of 110212202120112 is 211021202212011.

110212202120112 is a `hidden beast` number, since 110 + 212 + 20 + 212 + 0 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60698964 + ... + 62488307.

It is an arithmetic number, because the mean of its divisors is an integer number (2100342987600).

Almost surely, 2110212202120112 is an apocalyptic number.

110212202120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110212202120112 is an abundant number, since it is smaller than the sum of its proper divisors (225842675895888).

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

110212202120112 is a wasteful number, since it uses less digits than its factorization.

110212202120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123187416 (or 123187404 counting only the distinct ones).

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

Adding to 110212202120112 its reverse (211021202212011), we get a palindrome (321233404332123).

The spelling of 110212202120112 in words is "one hundred ten trillion, two hundred twelve billion, two hundred two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 109 114 144 152 171 216 218 228 304 327 342 432 436 456 513 654 684 872 912 981 1026 1308 1368 1744 1962 2052 2071 2616 2736 2943 3924 4104 4142 5232 5886 6213 7848 8208 8284 11772 12426 15696 16568 18639 23544 24852 33136 37278 47088 49704 55917 74556 99408 111834 149112 223668 298224 447336 894672 123187271 246374542 369561813 492749084 739123626 985498168 1108685439 1478247252 1970996336 2217370878 2340558149 2956494504 3326056317 4434741756 4681116298 5912989008 6652112634 7021674447 8869483512 9362232596 13304225268 13427412539 14043348894 17738967024 18724465192 21065023341 26608450536 26854825078 28086697788 37448930384 40282237617 42130046682 53216901072 53709650156 56173395576 63195070023 80564475234 84260093364 107419300312 112346791152 120846712851 126390140046 161128950468 168520186728 214838600624 241693425702 252780280092 255120838241 322257900936 337040373456 362540138553 483386851404 505560560184 510241676482 644515801872 725080277106 765362514723 966773702808 1011121120368 1020483352964 1450160554212 1530725029446 1933547405616 2040966705928 2296087544169 2900321108424 3061450058892 4081933411856 4592175088338 5800642216848 6122900117784 6888262632507 9184350176676 12245800235568 13776525265014 18368700353352 27553050530028 36737400706704 55106101060056 110212202120112