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110212201021212 = 22344116033517471
BaseRepresentation
bin11001000011110011000111…
…000101110111111100011100
3112110020011221210012120020000
4121003303013011313330130
5103421204041430134322
61030222441452054300
732133366040450143
oct3103630705677434
9473204853176200
10110212201021212
11321318062831a4
121043ba43164390
134965c732a91c4
141d3042860a75a
15cb1d13db43ac
hex643cc7177f1c

110212201021212 has 120 divisors (see below), whose sum is σ = 295162673511552. Its totient is φ = 35839061452800.

The previous prime is 110212201021187. The next prime is 110212201021231. The reversal of 110212201021212 is 212120102212011.

110212201021212 is a `hidden beast` number, since 110 + 21 + 220 + 102 + 1 + 212 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 212723637 + ... + 213241107.

Almost surely, 2110212201021212 is an apocalyptic number.

110212201021212 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 110212201021212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147581336755776).

110212201021212 is an abundant number, since it is smaller than the sum of its proper divisors (184950472490340).

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

110212201021212 is a wasteful number, since it uses less digits than its factorization.

110212201021212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533561 (or 533550 counting only the distinct ones).

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

Adding to 110212201021212 its reverse (212120102212011), we get a palindrome (322332303233223).

The spelling of 110212201021212 in words is "one hundred ten trillion, two hundred twelve billion, two hundred one million, twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 16033 32066 48099 64132 96198 144297 192396 288594 432891 517471 577188 657353 865782 1034942 1298673 1314706 1552413 1731564 1972059 2069884 2597346 2629412 3104826 3944118 4657239 5194692 5916177 6209652 7888236 9314478 11832354 13971717 17748531 18628956 21216311 23664708 27943434 35497062 41915151 42432622 53245593 55886868 63648933 70994124 83830302 84865244 106491186 127297866 167660604 190946799 212982372 254595732 381893598 572840397 763787196 1145680794 1718521191 2291361588 3437042382 6874084764 8296612543 16593225086 24889837629 33186450172 49779675258 74669512887 99559350516 149339025774 224008538661 298678051548 340161114263 448017077322 672025615983 680322228526 896034154644 1020483342789 1344051231966 1360644457052 2040966685578 2688102463932 3061450028367 4081933371156 6122900056734 9184350085101 12245800113468 18368700170202 27553050255303 36737400340404 55106100510606 110212201021212