Base | Representation |
---|---|
bin | 1101011000001… |
… | …01011111010000 |
3 | 21211011101001110 |
4 | 12230011133100 |
5 | 212212020422 |
6 | 15045133320 |
7 | 2531566224 |
oct | 654053720 |
9 | 254141043 |
10 | 112220112 |
11 | 583886a4 |
12 | 316ba240 |
13 | 1a331a44 |
14 | 10c92784 |
15 | 9cba60c |
hex | 6b057d0 |
112220112 has 80 divisors (see below), whose sum is σ = 300248640. Its totient is φ = 36089856.
The previous prime is 112220107. The next prime is 112220117. The reversal of 112220112 is 211022211.
It is an interprime number because it is at equal distance from previous prime (112220107) and next prime (112220117).
It is a super-3 number, since 3×1122201123 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (112220117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 317728 + ... + 318080.
It is an arithmetic number, because the mean of its divisors is an integer number (3753108).
Almost surely, 2112220112 is an apocalyptic number.
112220112 is a gapful number since it is divisible by the number (12) 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 112220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150124320).
112220112 is an abundant number, since it is smaller than the sum of its proper divisors (188028528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112220112 is a wasteful number, since it uses less digits than its factorization.
112220112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 580 (or 574 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 112220112 is about 10593.3994543772. The cubic root of 112220112 is about 482.3440207423.
Adding to 112220112 its reverse (211022211), we get a palindrome (323242323).
The spelling of 112220112 in words is "one hundred twelve million, two hundred twenty thousand, one hundred twelve".
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