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2012021002112 = 271112711251907
BaseRepresentation
bin11101010001110101110…
…011000000111110000000
321010100101012111000210112
4131101311303000332000
5230431104334031422
64140150520450452
7265235520223322
oct35216563007600
97110335430715
102012021002112
11706325447680
12285b39919a28
1311796ab70484
146d54d1b7612
153750d4eaee2
hex1d475cc0f80

2012021002112 has 64 divisors (see below), whose sum is σ = 4407147325440. Its totient is φ = 907353699840.

The previous prime is 2012021002109. The next prime is 2012021002157. The reversal of 2012021002112 is 2112001202102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5447138 + ... + 5804769.

It is an arithmetic number, because the mean of its divisors is an integer number (68861676960).

Almost surely, 22012021002112 is an apocalyptic number.

2012021002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2012021002112 is an abundant number, since it is smaller than the sum of its proper divisors (2395126323328).

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

2012021002112 is a wasteful number, since it uses less digits than its factorization.

2012021002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11252059 (or 11252047 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2012021002112 its reverse (2112001202102), we get a palindrome (4124022204214).

The spelling of 2012021002112 in words is "two trillion, twelve billion, twenty-one million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 352 508 704 1016 1397 1408 2032 2794 4064 5588 8128 11176 16256 22352 44704 89408 178816 11251907 22503814 45007628 90015256 123770977 180030512 247541954 360061024 495083908 720122048 990167816 1428992189 1440244096 1980335632 2857984378 3960671264 5715968756 7921342528 11431937512 15718914079 15842685056 22863875024 31437828158 45727750048 62875656316 91455500096 125751312632 182911000192 251502625264 503005250528 1006010501056 2012021002112