Search a number
-
+
113023201311 = 3383187326927
BaseRepresentation
bin110100101000010110…
…1010011000000011111
3101210201210002111221000
41221100231103000133
53322432414420221
6123531103241343
711110551234306
oct1512055230037
9353653074830
10113023201311
1143a29717a99
1219aa32a9253
13a872945a17
14568290943d
152e17720e26
hex1a50b5301f

113023201311 has 32 divisors (see below), whose sum is σ = 169555921920. Its totient is φ = 74398476672.

The previous prime is 113023201231. The next prime is 113023201331. The reversal of 113023201311 is 113102320311.

113023201311 is a `hidden beast` number, since 1 + 1 + 30 + 2 + 320 + 1 + 311 = 666.

It is not a de Polignac number, because 113023201311 - 217 = 113023070239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113023201331) 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 in 31 ways as a sum of consecutive naturals, for example, 4183930 + ... + 4210856.

It is an arithmetic number, because the mean of its divisors is an integer number (5298622560).

Almost surely, 2113023201311 is an apocalyptic number.

113023201311 is a deficient number, since it is larger than the sum of its proper divisors (56532720609).

113023201311 is a wasteful number, since it uses less digits than its factorization.

113023201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28892 (or 28886 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113023201311 its reverse (113102320311), we get a palindrome (226125521622).

The spelling of 113023201311 in words is "one hundred thirteen billion, twenty-three million, two hundred one thousand, three hundred eleven".

Divisors: 1 3 9 27 83 249 747 1873 2241 5619 16857 26927 50571 80781 155459 242343 466377 727029 1399131 2234941 4197393 6704823 20114469 50434271 60343407 151302813 453908439 1361725317 4186044493 12558133479 37674400437 113023201311