Search a number
-
+
103631713 is a prime number
BaseRepresentation
bin1100010110101…
…00101101100001
321020000000222121
412023110231201
5203012203323
614141104241
72365566163
oct613245541
9236000877
10103631713
1153552049
122a858081
1318615853
14da98933
159170a5d
hex62d4b61

103631713 has 2 divisors, whose sum is σ = 103631714. Its totient is φ = 103631712.

The previous prime is 103631707. The next prime is 103631743. The reversal of 103631713 is 317136301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80138304 + 23493409 = 8952^2 + 4847^2 .

It is an emirp because it is prime and its reverse (317136301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103631713 is a prime.

It is a super-3 number, since 3×1036317133 (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (103631743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51815856 + 51815857.

It is an arithmetic number, because the mean of its divisors is an integer number (51815857).

Almost surely, 2103631713 is an apocalyptic number.

It is an amenable number.

103631713 is a deficient number, since it is larger than the sum of its proper divisors (1).

103631713 is an equidigital number, since it uses as much as digits as its factorization.

103631713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 103631713 is about 10179.9662573115. The cubic root of 103631713 is about 469.7111745914.

The spelling of 103631713 in words is "one hundred three million, six hundred thirty-one thousand, seven hundred thirteen".