Base | Representation |
---|---|
bin | 10110010110100001… |
… | …01111111010110100 |
3 | 1010222022022020112220 |
4 | 23023100233322310 |
5 | 144034011200040 |
6 | 5302431442340 |
7 | 603242111226 |
oct | 131320577264 |
9 | 33868266486 |
10 | 12000100020 |
11 | 50a881a837 |
12 | 23aa9863b0 |
13 | 119319b1cc |
14 | 81ba46416 |
15 | 4a37902d0 |
hex | 2cb42feb4 |
12000100020 has 48 divisors (see below), whose sum is σ = 33794530560. Its totient is φ = 3181526656.
The previous prime is 12000100001. The next prime is 12000100033. The reversal of 12000100020 is 2000100021.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 12000099981 and 12000100008.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567660 + ... + 588419.
It is an arithmetic number, because the mean of its divisors is an integer number (704052720).
Almost surely, 212000100020 is an apocalyptic number.
12000100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12000100020 is an abundant number, since it is smaller than the sum of its proper divisors (21794430540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12000100020 is a wasteful number, since it uses less digits than its factorization.
12000100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1156264 (or 1156262 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 12000100020 its reverse (2000100021), we get a palindrome (14000200041).
Subtracting from 12000100020 its reverse (2000100021), we obtain a palindrome (9999999999).
The spelling of 12000100020 in words is "twelve billion, one hundred thousand, twenty".
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