# 10111

## 10,111 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 10111 look like?

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

10111 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 10111:

### 10111

See below for interesting mathematical facts about the number 10111 from the Numbermatics database.

### Names of 10111

• Cardinal: 10111 can be written as Ten thousand, one hundred eleven.

### Scientific notation

• Scientific notation: 1.0111 × 104

### Factors of 10111

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 10111

### Divisors of 10111

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 10112
• Sum of proper divisors (its aliquot sum) s(n): 1
• 10111 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 10110

### Bases of 10111

• Binary: 100111011111112
• Base-36: 7SV

### Squares and roots of 10111

• 10111 squared (101112) is 102232321
• 10111 cubed (101113) is 1033670997631
• The square root of 10111 is 100.5534683637
• The cube root of 10111 is 21.6237678473

### Scales and comparisons

How big is 10111?
• 10,111 seconds is equal to 2 hours, 48 minutes, 31 seconds.
• To count from 1 to 10,111 would take you about two 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 10111 cubic inches would be around 1.8 feet tall.

### Recreational maths with 10111

• 10111 backwards is 11101
• The number of decimal digits it has is: 5
• The sum of 10111's digits is 4
• More coming soon!