# 11213

## 11,213 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 11213 look like?

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

11213 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 11213:

### 11213

See below for interesting mathematical facts about the number 11213 from the Numbermatics database.

### Names of 11213

• Cardinal: 11213 can be written as Eleven thousand, two hundred thirteen.

### Scientific notation

• Scientific notation: 1.1213 × 104

### Factors of 11213

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 11213

### Divisors of 11213

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 11214
• Sum of proper divisors (its aliquot sum) s(n): 1
• 11213 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 11212

### Bases of 11213

• Binary: 101011110011012
• Base-36: 8NH

### Squares and roots of 11213

• 11213 squared (112132) is 125731369
• 11213 cubed (112133) is 1409825840597
• The square root of 11213 is 105.8914538573
• The cube root of 11213 is 22.3824320161

### Scales and comparisons

How big is 11213?
• 11,213 seconds is equal to 3 hours, 6 minutes, 53 seconds.
• To count from 1 to 11,213 would take you about three hours.

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 11213 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11213

• 11213 backwards is 31211
• The number of decimal digits it has is: 5
• The sum of 11213's digits is 8
• More coming soon!