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220112210202012 = 22344126171633133
BaseRepresentation
bin110010000011000011011110…
…000110011000110110011100
31001212100112002101101102210000
4302003003132012120312130
5212322304301302431022
62100050053045414300
764235403522326502
oct6203033606306634
91055315071342700
10220112210202012
1164153078388a27
122082b279a0a390
1395a865293394b
143c4d6b87da672
151a6a9550a26ac
hexc830de198d9c

220112210202012 has 120 divisors (see below), whose sum is σ = 589474806549552. Its totient is φ = 71578358380800.

The previous prime is 220112210201999. The next prime is 220112210202023. The reversal of 220112210202012 is 210202012211022.

It is a happy number.

220112210202012 is a `hidden beast` number, since 220 + 1 + 1 + 221 + 0 + 20 + 201 + 2 = 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, 347338998 + ... + 347972130.

Almost surely, 2220112210202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220112210202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294737403274776).

220112210202012 is an abundant number, since it is smaller than the sum of its proper divisors (369362596347540).

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

220112210202012 is a wasteful number, since it uses less digits than its factorization.

220112210202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659361 (or 659350 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220112210202012 its reverse (210202012211022), we get a palindrome (430314222413034).

The spelling of 220112210202012 in words is "two hundred twenty trillion, one hundred twelve billion, two hundred ten million, two hundred two thousand, 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 26171 52342 78513 104684 157026 235539 314052 471078 633133 706617 942156 1073011 1266266 1413234 1899399 2119851 2146022 2532532 2826468 3219033 3798798 4239702 4292044 5698197 6438066 7597596 8479404 9657099 11396394 12876132 17094591 19314198 22792788 25958453 28971297 34189182 38628396 51283773 51916906 57942594 68378364 77875359 86913891 102567546 103833812 115885188 155750718 173827782 205135092 233626077 311501436 347655564 467252154 700878231 934504308 1401756462 2102634693 2803512924 4205269386 8410538772 16569723743 33139447486 49709171229 66278894972 99418342458 149127513687 198836684916 298255027374 447382541061 596510054748 679358673463 894765082122 1342147623183 1358717346926 1789530164244 2038076020389 2684295246366 2717434693852 4076152040778 5368590492732 6114228061167 8152304081556 12228456122334 18342684183501 24456912244668 36685368367002 55028052550503 73370736734004 110056105101006 220112210202012