Base | Representation |
---|---|
bin | 1100000111111010111111… |
… | …0100001001101010000011 |
3 | 1202012100122212112102020010 |
4 | 3001332233310021222003 |
5 | 3221400304200001311 |
6 | 44203454040120003 |
7 | 2544035414460012 |
oct | 301765764115203 |
9 | 52170585472203 |
10 | 13330233203331 |
11 | 427a358141150 |
12 | 15b35a4166003 |
13 | 759060290445 |
14 | 341288558a79 |
15 | 181b3b186da6 |
hex | c1fafd09a83 |
13330233203331 has 16 divisors (see below), whose sum is σ = 19913468767488. Its totient is φ = 7860579775200.
The previous prime is 13330233203321. The next prime is 13330233203333.
It is a happy number.
13330233203331 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 13330233203331 - 25 = 13330233203299 is a prime.
It is a super-2 number, since 2×133302332033312 (a number of 27 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (13330233203333) 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 15 ways as a sum of consecutive naturals, for example, 5458734735 + ... + 5458737176.
It is an arithmetic number, because the mean of its divisors is an integer number (1244591797968).
Almost surely, 213330233203331 is an apocalyptic number.
13330233203331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
13330233203331 is a deficient number, since it is larger than the sum of its proper divisors (6583235564157).
13330233203331 is a wasteful number, since it uses less digits than its factorization.
13330233203331 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10917471962.
The product of its (nonzero) digits is 26244, while the sum is 30.
It can be divided in two parts, 1333023 and 3203331, that added together give a palindrome (4536354).
The spelling of 13330233203331 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty-three million, two hundred three thousand, three hundred thirty-one".
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