# 1011

## 1,011 is an odd composite number composed of two prime numbers multiplied together.

What does the number 1011 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

1011 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 1011:

### 3 × 337

See below for interesting mathematical facts about the number 1011 from the Numbermatics database.

### Names of 1011

• Cardinal: 1011 can be written as One thousand and eleven.

### Scientific notation

• Scientific notation: 1.011 × 103

### Factors of 1011

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 340

### Divisors of 1011

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 1352
• Sum of proper divisors (its aliquot sum) s(n): 341
• 1011 is a deficient number, because the sum of its proper divisors (341) is less than itself. Its deficiency is 670

### Bases of 1011

• Binary: 11111100112
• Base-36: S3

### Squares and roots of 1011

• 1011 squared (10112) is 1022121
• 1011 cubed (10113) is 1033364331
• The square root of 1011 is 31.7962261911
• The cube root of 1011 is 10.0365330379

### Scales and comparisons

How big is 1011?
• 1,011 seconds is equal to 16 minutes, 51 seconds.
• To count from 1 to 1,011 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 1011 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1011

• 1011 backwards is 1101
• 1011 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 1011's digits is 3
• More coming soon!