Base | Representation |
---|---|
bin | 111111001111011… |
… | …0010101011011000 |
3 | 12110212220211021210 |
4 | 1332132302223120 |
5 | 13321213013422 |
6 | 550321503120 |
7 | 103404466110 |
oct | 17636625330 |
9 | 5425824253 |
10 | 2122001112 |
11 | 9998a5930 |
12 | 4b27a1aa0 |
13 | 27a82207a |
14 | 161b76040 |
15 | c646110c |
hex | 7e7b2ad8 |
2122001112 has 128 divisors (see below), whose sum is σ = 6680102400. Its totient is φ = 545664000.
The previous prime is 2122001099. The next prime is 2122001129. The reversal of 2122001112 is 2111002212.
It is a Harshad number since it is a multiple of its sum of digits (12).
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 31 ways as a sum of consecutive naturals, for example, 180964 + ... + 192332.
It is an arithmetic number, because the mean of its divisors is an integer number (52188300).
Almost surely, 22122001112 is an apocalyptic number.
2122001112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340051200).
2122001112 is an abundant number, since it is smaller than the sum of its proper divisors (4558101288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122001112 is a wasteful number, since it uses less digits than its factorization.
2122001112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11497 (or 11493 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 2122001112 is about 46065.1832949789. The cubic root of 2122001112 is about 1285.0357274305.
Adding to 2122001112 its reverse (2111002212), we get a palindrome (4233003324).
It can be divided in two parts, 212200 and 1112, that added together give a palindrome (213312).
The spelling of 2122001112 in words is "two billion, one hundred twenty-two million, one thousand, one hundred twelve".
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