# 11353

## 11,353 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 11353 look like?

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

11353 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 11353:

### 11353

See below for interesting mathematical facts about the number 11353 from the Numbermatics database.

### Names of 11353

• Cardinal: 11353 can be written as Eleven thousand, three hundred fifty-three.

### Scientific notation

• Scientific notation: 1.1353 × 104

### Factors of 11353

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 11353

### Divisors of 11353

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 11354
• Sum of proper divisors (its aliquot sum) s(n): 1
• 11353 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 11352

### Bases of 11353

• Binary: 101100010110012
• Base-36: 8RD

### Squares and roots of 11353

• 11353 squared (113532) is 128890609
• 11353 cubed (113533) is 1463295083977
• The square root of 11353 is 106.5504575307
• The cube root of 11353 is 22.4751990103

### Scales and comparisons

How big is 11353?
• 11,353 seconds is equal to 3 hours, 9 minutes, 13 seconds.
• To count from 1 to 11,353 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 11353 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11353

• 11353 backwards is 35311
• The number of decimal digits it has is: 5
• The sum of 11353's digits is 13
• More coming soon!