Is 921123013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 921 123 013 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 921 123 013, the only two divisors are 1 and 921 123 013. Therefore 921 123 013 is a prime number.
As a consequence, 921 123 013 is only a multiple of 1 and 921 123 013.
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Since 921123013 is a prime number, 921123013 is also a deficient number, that is to say 921123013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 921123013 without 921123013 itself (that is 1, by definition!).