# 5101

## 5,101 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 5101 look like?

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

5101 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 5101:

### 5101

See below for interesting mathematical facts about the number 5101 from the Numbermatics database.

### Names of 5101

• Cardinal: 5101 can be written as Five thousand, one hundred one.

### Scientific notation

• Scientific notation: 5.101 × 103

### Factors of 5101

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 5101

### Divisors of 5101

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 5102
• Sum of proper divisors (its aliquot sum) s(n): 1
• 5101 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 5100

### Bases of 5101

• Binary: 10011111011012
• Base-36: 3XP

### Squares and roots of 5101

• 5101 squared (51012) is 26020201
• 5101 cubed (51013) is 132729045301
• The square root of 5101 is 71.4212853427
• The cube root of 5101 is 17.2141311669

### Scales and comparisons

How big is 5101?
• 5,101 seconds is equal to 1 hour, 25 minutes, 1 second.
• To count from 1 to 5,101 would take you about twenty-five minutes.

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 5101 cubic inches would be around 1.4 feet tall.

### Recreational maths with 5101

• 5101 backwards is 1015
• The number of decimal digits it has is: 4
• The sum of 5101's digits is 7
• More coming soon!