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211212201022212 = 223131926595691173
BaseRepresentation
bin110000000001100010101100…
…001101101101001100000100
31000200211200121102221120100210
4300001202230031231030010
5210141000041430202322
62025113313505235420
762326402144444365
oct6001425415551404
91020750542846323
10211212201022212
1161331656205a95
121b83240a932b70
1390b12c06bb270
143a22a21865b6c
1519641a9dea70c
hexc018ac36d304

211212201022212 has 144 divisors (see below), whose sum is σ = 560992224703680. Its totient is φ = 61474491945216.

The previous prime is 211212201022169. The next prime is 211212201022213. The reversal of 211212201022212 is 212220102212112.

It is a super-2 number, since 2×2112122010222122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212201022213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34266658 + ... + 39957830.

It is an arithmetic number, because the mean of its divisors is an integer number (3895779338220).

Almost surely, 2211212201022212 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 211212201022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280496112351840).

211212201022212 is an abundant number, since it is smaller than the sum of its proper divisors (349780023681468).

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

211212201022212 is a wasteful number, since it uses less digits than its factorization.

211212201022212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691890 (or 5691869 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 211212201022212 its reverse (212220102212112), we get a palindrome (423432303234324).

The spelling of 211212201022212 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 659 722 741 988 1083 1318 1444 1482 1977 2166 2636 2964 3954 4332 4693 7908 8567 9386 12521 14079 17134 18772 25042 25701 28158 34268 37563 50084 51402 56316 75126 102804 150252 162773 237899 325546 475798 488319 651092 713697 951596 976638 1427394 1953276 2854788 3092687 5691173 6185374 9278061 11382346 12370748 17073519 18556122 22764692 34147038 37112244 68294076 73985249 108132287 147970498 216264574 221955747 295940996 324396861 432529148 443911494 648793722 887822988 1297587444 1405719731 2054513453 2811439462 3750483007 4109026906 4217159193 5622878924 6163540359 7500966014 8218053812 8434318386 11251449021 12327080718 15001932028 16868636772 22502898042 24654161436 26708674889 45005796084 48756279091 53417349778 71259177133 80126024667 97512558182 106834699556 142518354266 146268837273 160252049334 195025116364 213777531399 285036708532 292537674546 320504098668 427555062798 585075349092 855110125596 926369302729 1353924365527 1852738605458 2707848731054 2779107908187 3705477210916 4061773096581 5415697462108 5558215816374 8123546193162 11116431632748 16247092386324 17601016751851 35202033503702 52803050255553 70404067007404 105606100511106 211212201022212