# 113

## 113 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 113 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

113 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 113:

### 113

See below for interesting mathematical facts about the number 113 from the Numbermatics database.

### Names of 113

• Cardinal: 113 can be written as One hundred thirteen.

### Scientific notation

• Scientific notation: 1.13 × 102

### Factors of 113

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 113

### Divisors of 113

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 114
• Sum of proper divisors (its aliquot sum) s(n): 1
• 113 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 112

### Bases of 113

• Binary: 11100012
• Base-36: 35

### Squares and roots of 113

• 113 squared (1132) is 12769
• 113 cubed (1133) is 1442897
• The square root of 113 is 10.6301458127
• The cube root of 113 is 4.8345881273

### Scales and comparisons

How big is 113?
• 113 seconds is equal to 1 minute, 53 seconds.
• To count from 1 to 113 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 113 cubic inches would be around 0.4 feet tall.

### Recreational maths with 113

• 113 backwards is 311
• The number of decimal digits it has is: 3
• The sum of 113's digits is 5
• More coming soon!