Base | Representation |
---|---|
bin | 1011110100110000111101… |
… | …0100110010000100110100 |
3 | 1201000220011121211111020100 |
4 | 2331030033110302010310 |
5 | 3201002300004024340 |
6 | 43352344500434100 |
7 | 2511204644032206 |
oct | 275141724620464 |
9 | 51026147744210 |
10 | 13001123111220 |
11 | 416282206a892 |
12 | 155b8559a8930 |
13 | 73400156b67a |
14 | 32d38725c776 |
15 | 1782c8085830 |
hex | bd30f532134 |
13001123111220 has 72 divisors (see below), whose sum is σ = 39561146397864. Its totient is φ = 3456029346048.
The previous prime is 13001123111213. The next prime is 13001123111293. The reversal of 13001123111220 is 2211132110031.
13001123111220 is a `hidden beast` number, since 1 + 300 + 1 + 1 + 231 + 112 + 20 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 151436165904 + 12849686945316 = 389148^2 + 3584646^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 13001123111193 and 13001123111202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113867959 + ... + 113982078.
It is an arithmetic number, because the mean of its divisors is an integer number (549460366637).
Almost surely, 213001123111220 is an apocalyptic number.
13001123111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
13001123111220 is an abundant number, since it is smaller than the sum of its proper divisors (26560023286644).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13001123111220 is a wasteful number, since it uses less digits than its factorization.
13001123111220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 227850369 (or 227850364 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 13001123111220 its reverse (2211132110031), we get a palindrome (15212255221251).
The spelling of 13001123111220 in words is "thirteen trillion, one billion, one hundred twenty-three million, one hundred eleven thousand, two hundred twenty".
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