# 112

## 112 is an even composite number composed of two prime numbers multiplied together.

What does the number 112 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 10 divisors.

112 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of ten divisors.

## Prime factorization of 112:

### 24 × 7

(2 × 2 × 2 × 2 × 7)

See below for interesting mathematical facts about the number 112 from the Numbermatics database.

### Names of 112

• Cardinal: 112 can be written as One hundred twelve.

### Scientific notation

• Scientific notation: 1.12 × 102

### Factors of 112

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 9

### Divisors of 112

• Number of divisors d(n): 10
• Complete list of divisors:
• Sum of all divisors σ(n): 248
• Sum of proper divisors (its aliquot sum) s(n): 136
• 112 is an abundant number, because the sum of its proper divisors (136) is greater than itself. Its abundance is 24

### Bases of 112

• Binary: 11100002
• Base-36: 34

### Squares and roots of 112

• 112 squared (1122) is 12544
• 112 cubed (1123) is 1404928
• The square root of 112 is 10.5830052443
• The cube root of 112 is 4.8202845283

### Scales and comparisons

How big is 112?
• 112 seconds is equal to 52 seconds.
• To count from 1 to 112 would take you about fifty-six seconds.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 112 cubic inches would be around 0.4 feet tall.

### Recreational maths with 112

• 112 backwards is 211
• 112 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 112's digits is 4
• More coming soon!