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212101211101212 = 223331107895871871
BaseRepresentation
bin110000001110011110101001…
…010110000001100000011100
31000210222200022002020211011000
4300032132221112001200130
5210300031240020214322
62031033541244430300
762450543510441046
oct6016365126014034
91023880262224130
10212101211101212
1161644689221544
121b956776548390
13914709b36b524
143a53a79442a96
15197c38c6c93ac
hexc0e7a958181c

212101211101212 has 96 divisors (see below), whose sum is σ = 567683189964800. Its totient is φ = 68413392244800.

The previous prime is 212101211101193. The next prime is 212101211101217. The reversal of 212101211101212 is 212101112101212.

It is a happy number.

212101211101212 is a `hidden beast` number, since 21 + 210 + 1 + 211 + 10 + 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 not an unprimeable number, because it can be changed into a prime (212101211101217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33185637 + ... + 39057507.

Almost surely, 2212101211101212 is an apocalyptic number.

It is an amenable number.

212101211101212 is an abundant number, since it is smaller than the sum of its proper divisors (355581978863588).

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

212101211101212 is a wasteful number, since it uses less digits than its factorization.

212101211101212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5882704 (or 5882696 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 212101211101212 its reverse (212101112101212), we get a palindrome (424202323202424).

The spelling of 212101211101212 in words is "two hundred twelve trillion, one hundred one billion, two hundred eleven million, one hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 10789 21578 32367 43156 64734 97101 129468 194202 291303 334459 388404 582606 668918 1003377 1165212 1337836 2006754 3010131 4013508 5871871 6020262 9030393 11743742 12040524 17615613 18060786 23487484 35231226 36121572 52846839 70462452 105693678 158540517 182028001 211387356 317081034 364056002 546084003 634162068 728112004 1092168006 1638252009 2184336012 3276504018 4914756027 6553008036 9829512054 19659024108 63351616219 126703232438 190054848657 253406464876 380109697314 570164545971 760219394628 1140329091942 1710493637913 1963900102789 2280658183884 3420987275826 3927800205578 5891700308367 6841974551652 7855600411156 11783400616734 17675100925101 23566801233468 35350201850202 53025302775303 70700403700404 106050605550606 212101211101212