Search a number
-
+
11304111434121 = 3211114182943779
BaseRepresentation
bin1010010001111111000110…
…0010111110100110001001
31111000122212221222012101100
42210133301202332212021
52440201310011342441
640013012003012013
72244460263546252
oct244376142764611
944018787865340
1011304111434121
113669057230550
12132699006a009
1363cc85c8c3cc
142b119c757b29
151490a4ca0cb6
hexa47f18be989

11304111434121 has 12 divisors (see below), whose sum is σ = 17812539229680. Its totient is φ = 6850976626680.

The previous prime is 11304111434107. The next prime is 11304111434167. The reversal of 11304111434121 is 12143411140311.

11304111434121 is a `hidden beast` number, since 1 + 1 + 304 + 1 + 1 + 14 + 341 + 2 + 1 = 666.

It is not a de Polignac number, because 11304111434121 - 29 = 11304111433609 is a prime.

It is a super-3 number, since 3×113041114341213 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11304111434321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57091471791 + ... + 57091471988.

It is an arithmetic number, because the mean of its divisors is an integer number (1484378269140).

Almost surely, 211304111434121 is an apocalyptic number.

11304111434121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11304111434121 is a deficient number, since it is larger than the sum of its proper divisors (6508427795559).

11304111434121 is a wasteful number, since it uses less digits than its factorization.

11304111434121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114182943796 (or 114182943793 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11304111434121 its reverse (12143411140311), we get a palindrome (23447522574432).

The spelling of 11304111434121 in words is "eleven trillion, three hundred four billion, one hundred eleven million, four hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 114182943779 342548831337 1027646494011 1256012381569 3768037144707 11304111434121