Is 113689007 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 113 689 007 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 113 689 007, the only two divisors are 1 and 113 689 007. Therefore 113 689 007 is a prime number.
As a consequence, 113 689 007 is only a multiple of 1 and 113 689 007.
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Since 113689007 is a prime number, 113689007 is also a deficient number, that is to say 113689007 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 113689007 without 113689007 itself (that is 1, by definition!).