Search a number
-
+
11330322303311 = 114130198321519
BaseRepresentation
bin1010010011100000101111…
…0101100000100101001111
31111010011112122100022110022
42210320023311200211033
52441114000002201221
640033024520532355
72246405643345434
oct244701365404517
944104478308408
1011330322303311
113679187617510
12132ba860210bb
136425a232446b
142b256785db8b
15149adae094ab
hexa4e0bd6094f

11330322303311 has 16 divisors (see below), whose sum is σ = 12666019161600. Its totient is φ = 10045736529600.

The previous prime is 11330322303283. The next prime is 11330322303337.

11330322303311 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11330322303311 - 234 = 11313142434127 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330322303211) 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, 2799191 + ... + 5522328.

It is an arithmetic number, because the mean of its divisors is an integer number (791626197600).

Almost surely, 211330322303311 is an apocalyptic number.

11330322303311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11330322303311 is a deficient number, since it is larger than the sum of its proper divisors (1335696858289).

11330322303311 is a wasteful number, since it uses less digits than its factorization.

11330322303311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324590.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 1133032 and 2303311, that added together give a palindrome (3436343).

The spelling of 11330322303311 in words is "eleven trillion, three hundred thirty billion, three hundred twenty-two million, three hundred three thousand, three hundred eleven".

Divisors: 1 11 41 451 3019 33209 123779 1361569 8321519 91536709 341182279 3753005069 25122665861 276349324471 1030029300301 11330322303311