Base | Representation |
---|---|
bin | 100001011110111111101… |
… | …010100100011111001000 |
3 | 22010222100020221022022100 |
4 | 201132333222210133020 |
5 | 300144443404023422 |
6 | 4521024142553400 |
7 | 325146332505555 |
oct | 41367752443710 |
9 | 8128306838270 |
10 | 2301023111112 |
11 | 807949616660 |
12 | 311b53b98860 |
13 | 138ca733266b |
14 | 7d527837a2c |
15 | 3ecc53d57ac |
hex | 217bfaa47c8 |
2301023111112 has 96 divisors (see below), whose sum is σ = 6802858651680. Its totient is φ = 696830369280.
The previous prime is 2301023111111. The next prime is 2301023111129. The reversal of 2301023111112 is 2111113201032.
2301023111112 is a `hidden beast` number, since 230 + 10 + 2 + 311 + 1 + 112 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2301023111111) 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 23 ways as a sum of consecutive naturals, for example, 294583 + ... + 2165369.
It is an arithmetic number, because the mean of its divisors is an integer number (70863110955).
Almost surely, 22301023111112 is an apocalyptic number.
2301023111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2301023111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401429325840).
2301023111112 is an abundant number, since it is smaller than the sum of its proper divisors (4501835540568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2301023111112 is a wasteful number, since it uses less digits than its factorization.
2301023111112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1872363 (or 1872356 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 2301023111112 its reverse (2111113201032), we get a palindrome (4412136312144).
The spelling of 2301023111112 in words is "two trillion, three hundred one billion, twenty-three million, one hundred eleven thousand, one hundred twelve".
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