Base | Representation |
---|---|
bin | 11110101111001000111… |
… | …011101001010001111000 |
3 | 21110220221211222110221120 |
4 | 132233020323221101320 |
5 | 234101241201133422 |
6 | 4254155320505240 |
7 | 305413166643156 |
oct | 36571073512170 |
9 | 7426854873846 |
10 | 2112200021112 |
11 | 744862935365 |
12 | 2a143761b220 |
13 | 12424479c3cc |
14 | 74333d183d6 |
15 | 39e232e845c |
hex | 1ebc8ee9478 |
2112200021112 has 128 divisors (see below), whose sum is σ = 5597591961600. Its totient is φ = 663253718400.
The previous prime is 2112200021101. The next prime is 2112200021117. The reversal of 2112200021112 is 2111200022112.
It is a super-2 number, since 2×21122000211122 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2112200021091 and 2112200021100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2112200021117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3920023 + ... + 4426169.
It is an arithmetic number, because the mean of its divisors is an integer number (43731187200).
Almost surely, 22112200021112 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 2112200021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798795980800).
2112200021112 is an abundant number, since it is smaller than the sum of its proper divisors (3485391940488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2112200021112 is a wasteful number, since it uses less digits than its factorization.
2112200021112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 506337 (or 506333 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 2112200021112 its reverse (2111200022112), we get a palindrome (4223400043224).
The spelling of 2112200021112 in words is "two trillion, one hundred twelve billion, two hundred million, twenty-one thousand, one hundred twelve".
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