# 1012

## 1,012 is an even composite number composed of three prime numbers multiplied together.

What does the number 1012 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 12 divisors.

1012 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 1012:

### 22 × 11 × 23

(2 × 2 × 11 × 23)

See below for interesting mathematical facts about the number 1012 from the Numbermatics database.

### Names of 1012

• Cardinal: 1012 can be written as One thousand and twelve.

### Scientific notation

• Scientific notation: 1.012 × 103

### Factors of 1012

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 4
• Sum of prime factors: 36

### Divisors of 1012

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 2016
• Sum of proper divisors (its aliquot sum) s(n): 1004
• 1012 is a deficient number, because the sum of its proper divisors (1004) is less than itself. Its deficiency is 8

### Bases of 1012

• Binary: 11111101002
• Base-36: S4

### Squares and roots of 1012

• 1012 squared (10122) is 1024144
• 1012 cubed (10123) is 1036433728
• The square root of 1012 is 31.8119474411
• The cube root of 1012 is 10.0398410583

### Scales and comparisons

How big is 1012?
• 1,012 seconds is equal to 16 minutes, 52 seconds.
• To count from 1 to 1,012 would take you about sixteen 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 1012 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1012

• 1012 backwards is 2101
• 1012 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1012's digits is 4
• More coming soon!