Is 2123 a prime number?

2 123 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 2 123 is about 46.076.

Thus, the square root of 2 123 is not an integer, and therefore 2 123 is not a square number.

The square of a number (here 2 123) is the result of the product of this number (2 123) by itself (i.e., 2 123 × 2 123); the square of 2 123 is sometimes called "raising 2 123 to the power 2", or "2 123 squared".

The square of 2 123 is 4 507 129 because 2 123 × 2 123 = 2 123² = 4 507 129.

As a consequence, 2 123 is the square root of 4 507 129.

2 123 is a number with 4 digits.

The multiples of 2 123 are all integers evenly divisible by 2 123, that is all numbers such that the remainder of the division by 2 123 is zero. There are infinitely many multiples of 2 123. The smallest multiples of 2 123 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2 123 too, since 0 × 2 123 = 0
• 2 123: indeed, 2 123 is a multiple of itself, since 2 123 is evenly divisible by 2 123 (we have 2 123 / 2 123 = 1, so the remainder of this division is indeed zero)
• 4 246: indeed, 4 246 = 2 123 × 2
• 6 369: indeed, 6 369 = 2 123 × 3
• 8 492: indeed, 8 492 = 2 123 × 4
• 10 615: indeed, 10 615 = 2 123 × 5
• etc.

• Preceding numbers: …2 121, 2 122
• Following numbers: 2 124, 2 125…

Nearest numbers from 2 123

• Preceding prime number: 2 113
• Following prime number: 2 129

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• 2 123 est-il un nombre premier ?