Search a number
-
+
3000113311 = 134313938611
BaseRepresentation
bin1011001011010010…
…0001100010011111
321202002020112202211
42302310201202133
522121012111221
61213410501251
7134226354016
oct26264414237
97662215684
103000113311
1112aa538598
126b8894827
1338a723ca0
14206635a7d
151285b76e1
hexb2d2189f

3000113311 has 16 divisors (see below), whose sum is σ = 3329898880. Its totient is φ = 2685402720.

The previous prime is 3000113297. The next prime is 3000113327. The reversal of 3000113311 is 1133110003.

It is a happy number.

3000113311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3000113311 - 27 = 3000113183 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3000113291 and 3000113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000113341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58396 + ... + 97006.

It is an arithmetic number, because the mean of its divisors is an integer number (208118680).

Almost surely, 23000113311 is an apocalyptic number.

3000113311 is a deficient number, since it is larger than the sum of its proper divisors (329785569).

3000113311 is a wasteful number, since it uses less digits than its factorization.

3000113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38806.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 3000113311 is about 54773.2901239281. The cubic root of 3000113311 is about 1442.2677281611.

Adding to 3000113311 its reverse (1133110003), we get a palindrome (4133223314).

The spelling of 3000113311 in words is "three billion, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 13 43 139 559 1807 5977 38611 77701 501943 1660273 5366929 21583549 69770077 230777947 3000113311