Is 138168311 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 138 168 311 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 138 168 311, the only two divisors are 1 and 138 168 311. Therefore 138 168 311 is a prime number.
As a consequence, 138 168 311 is only a multiple of 1 and 138 168 311.
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Since 138168311 is a prime number, 138168311 is also a deficient number, that is to say 138168311 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 138168311 without 138168311 itself (that is 1, by definition!).