Base | Representation |
---|---|
bin | 1101011001110… |
… | …11111110111100 |
3 | 21211120201020120 |
4 | 12230323332330 |
5 | 212241141244 |
6 | 15054014540 |
7 | 2533516050 |
oct | 654737674 |
9 | 254521216 |
10 | 112443324 |
11 | 58520374 |
12 | 317a7450 |
13 | 1a3ac516 |
14 | 10d0dc60 |
15 | 9d11819 |
hex | 6b3bfbc |
112443324 has 96 divisors (see below), whose sum is σ = 320409600. Its totient is φ = 29998080.
The previous prime is 112443299. The next prime is 112443329. The reversal of 112443324 is 423344211.
It is a super-3 number, since 3×1124433243 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 112443294 and 112443303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (112443329) by changing a digit.
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, 74772 + ... + 76260.
It is an arithmetic number, because the mean of its divisors is an integer number (3337600).
Almost surely, 2112443324 is an apocalyptic number.
112443324 is a gapful number since it is divisible by the number (14) 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 112443324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160204800).
112443324 is an abundant number, since it is smaller than the sum of its proper divisors (207966276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112443324 is a wasteful number, since it uses less digits than its factorization.
112443324 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1563 (or 1561 counting only the distinct ones).
The product of its digits is 2304, while the sum is 24.
The square root of 112443324 is about 10603.9296489556. The cubic root of 112443324 is about 482.6636119058.
Adding to 112443324 its reverse (423344211), we get a palindrome (535787535).
The spelling of 112443324 in words is "one hundred twelve million, four hundred forty-three thousand, three hundred twenty-four".
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