The number 11011
11011 is a palindrome: it reads 11011 backwards too. Its prime factorisation is 7 × × 13. Divisors (12): 1, 7, 11, 13, 77, 91, 121, 143, 847, 1001, 1573, 11011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11011: a palindrome: it reads 11011 backwards too.
- 2
11011 is composite. Its prime factorisation is
- 3
The divisors add up to 14896; without 11011 itself that is 3885, so 11011 is deficient (3885 is less than 11011). Euler's totient φ(11011) = 7920 numbers up to 11011 share no factor with it.
- 4
The digits of 11011 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 192 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11011 = 7 \times 11^{2} \times 13 \]11011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14896 |
| Euler totient φ(n) | 7920 |
| Square | 121242121 |
| Cube | 1334996994331 |
| Square root | 104.933312 (= 11√91) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 192 |
| Scientific notation | 1.1011 × |
11011 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and eleven |
| Binary (base 2) | 10101100000011 |
| Octal (base 8) | 25403 |
| Hexadecimal (base 16) | 2B03 |
| Base 3 | 120002211 |
| As time | 11011 seconds = 3 h 3 min 31 s |
Is 11011 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11011 ÷ 7 = 1573) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11011 ÷ 11 = 1001) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11011 a prime number?
No. 11011 = 7 × × 13, so it is divisible by 7.
What are the factors of 11011?
1, 7, 11, 13, 77, 91, 121, 143, 847, 1001, 1573, 11011.
What is 11011 in binary?
10101100000011 (hexadecimal 2B03, octal 25403).
What is the square root of 11011?
About 104.9333, exactly 11√91.
Is 11011 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 11011?
11011 is a palindrome: it reads 11011 backwards too.