Is 130993309 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 130 993 309 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 130 993 309, the only two divisors are 1 and 130 993 309. Therefore 130 993 309 is a prime number.
As a consequence, 130 993 309 is only a multiple of 1 and 130 993 309.
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Since 130993309 is a prime number, 130993309 is also a deficient number, that is to say 130993309 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 130993309 without 130993309 itself (that is 1, by definition!).