Search a number
-
+
103638011 is a prime number
BaseRepresentation
bin1100010110101…
…10001111111011
321020000100121212
412023112033323
5203012404021
614141153335
72365623431
oct613261773
9236010555
10103638011
1153556854
122a85b84b
1318618689
14da9ad51
15917285b
hex62d63fb

103638011 has 2 divisors, whose sum is σ = 103638012. Its totient is φ = 103638010.

The previous prime is 103637971. The next prime is 103638013. The reversal of 103638011 is 110836301.

It is a strong prime.

It is an emirp because it is prime and its reverse (110836301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103638011 - 226 = 36529147 is a prime.

It is a super-3 number, since 3×1036380113 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 103638013, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (103638013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51819005 + 51819006.

It is an arithmetic number, because the mean of its divisors is an integer number (51819006).

Almost surely, 2103638011 is an apocalyptic number.

103638011 is a deficient number, since it is larger than the sum of its proper divisors (1).

103638011 is an equidigital number, since it uses as much as digits as its factorization.

103638011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 103638011 is about 10180.2755856607. The cubic root of 103638011 is about 469.7206896358.

The spelling of 103638011 in words is "one hundred three million, six hundred thirty-eight thousand, eleven".