Is 2113 a prime number?

2 113 is an odd number, because it is not evenly divisible by 2.

Find out more:

• What is an even number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 2 113 is about 45.967.

Thus, the square root of 2 113 is not an integer, and therefore 2 113 is not a square number.

Anyway, 2 113 is a prime number, and a prime number cannot be a perfect square.

The square of a number (here 2 113) is the result of the product of this number (2 113) by itself (i.e., 2 113 × 2 113); the square of 2 113 is sometimes called "raising 2 113 to the power 2", or "2 113 squared".

The square of 2 113 is 4 464 769 because 2 113 × 2 113 = 2 113² = 4 464 769.

As a consequence, 2 113 is the square root of 4 464 769.

2 113 is a number with 4 digits.

The multiples of 2 113 are all integers evenly divisible by 2 113, that is all numbers such that the remainder of the division by 2 113 is zero. There are infinitely many multiples of 2 113. The smallest multiples of 2 113 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 113 too, since 0 × 2 113 = 0
• 2 113: indeed, 2 113 is a multiple of itself, since 2 113 is evenly divisible by 2 113 (we have 2 113 / 2 113 = 1, so the remainder of this division is indeed zero)
• 4 226: indeed, 4 226 = 2 113 × 2
• 6 339: indeed, 6 339 = 2 113 × 3
• 8 452: indeed, 8 452 = 2 113 × 4
• 10 565: indeed, 10 565 = 2 113 × 5
• etc.

• Preceding numbers: …2 111, 2 112
• Following numbers: 2 114, 2 115…

Nearest numbers from 2 113

• Preceding prime number: 2 111
• Following prime number: 2 129

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• 2 113 est-il un nombre premier ?