Mathematical Properties of 113
Explore the fascinating mathematical properties of the number 113. This section covers everything from prime factors to square roots and numerical representations.
Square Root
The square root of 113 is approximately 10.63014581. It's an irrational number.
Learn More →113 in Different Number Systems
How 113 is written in binary, octal, hexadecimal, base-12, balanced ternary, and Roman numerals.
Learn More →113 in Roman Numerals
113 in Roman numerals is CXIII. See how the symbols add up and the rules behind them.
Learn More →113 in Binary and Hex
Step-by-step conversion of 113 to binary (1110001) and hexadecimal (71).
Learn More →Cube Root of 113
The cube root of 113 is approximately 4.8346 — irrational, since 113 has no perfect-cube factors.
Learn More →113 Percent of Numbers
What 113% of common values is, how to convert between 113%, 1.13, and 113/100.
Learn More →113 as a Fraction
113 written as a fraction is 113/1; related decimal forms cannot be simplified because 113 is prime.
Learn More →Logarithm of 113
Natural log, log base 10, and log base 2 of 113, with worked calculations.
Learn More →113 Factorial and Powers
113 squared, cubed, and beyond — including the magnitude of 113 factorial.
Learn More →Quick Facts About 113 in Mathematics
- 113 is the 30th prime number
- 113 is an emirp (113 backwards, 311, is also prime)
- The sum of its digits (1+1+3) is 5, which is also prime
- 113 in binary is 1110001
- 113 in hexadecimal is 71
- 113 in octal is 161
Frequently Asked Questions
Is 113 a prime number?
Yes, 113 is a prime number because it is only divisible by 1 and itself (113).
What is the square root of 113?
The square root of 113 is approximately 10.63014581. It is an irrational number.
What are the factors of 113?
The factors of 113 are 1 and 113, since 113 is a prime number.
Is 113 a perfect square?
No, 113 is not a perfect square. The closest perfect squares are 100 (10²) and 121 (11²).
Is 113 an even or odd number?
113 is an odd number because it is not divisible by 2.