# 181

## 181 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 181 look like?

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

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

## Prime factorization of 181:

### 181

See below for interesting mathematical facts about the number 181 from the Numbermatics database.

### Names of 181

• Cardinal: 181 can be written as One hundred eighty-one.

### Scientific notation

• Scientific notation: 1.81 × 102

### Factors of 181

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 181

### Divisors of 181

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 182
• Sum of proper divisors (its aliquot sum) s(n): 1
• 181 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 180

### Bases of 181

• Binary: 101101012
• Base-36: 51

### Squares and roots of 181

• 181 squared (1812) is 32761
• 181 cubed (1813) is 5929741
• The square root of 181 is 13.4536240471
• The cube root of 181 is 5.6566528259

### Scales and comparisons

How big is 181?
• 181 seconds is equal to 3 minutes, 1 second.
• To count from 1 to 181 would take you about thirty 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 181 cubic inches would be around 0.5 feet tall.

### Recreational maths with 181

• 181 is the same when its digits are reversed! That makes it a palindromic prime number.
• The number of decimal digits it has is: 3
• The sum of 181's digits is 10
• More coming soon!