Base | Representation |
---|---|
bin | 110000001110100111110000… |
… | …110100011110011110011000 |
3 | 1000211000121120022011121201120 |
4 | 300032213300310132132120 |
5 | 210300211312022413422 |
6 | 2031042240455045240 |
7 | 62451341214426645 |
oct | 6016476064363630 |
9 | 1024017508147646 |
10 | 212111000201112 |
11 | 61648851989151 |
12 | 1b958648970820 |
13 | 9147c9b45622c |
14 | 3a54327586dcc |
15 | 197c761cc845c |
hex | c0e9f0d1e798 |
212111000201112 has 128 divisors (see below), whose sum is σ = 556526092953600. Its totient is φ = 67275457088000.
The previous prime is 212111000201059. The next prime is 212111000201143. The reversal of 212111000201112 is 211102000111212.
It is a happy number.
212111000201112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2121110002011122 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 212111000201091 and 212111000201100.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115264138 + ... + 117089894.
It is an arithmetic number, because the mean of its divisors is an integer number (4347860101200).
Almost surely, 2212111000201112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 212111000201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278263046476800).
212111000201112 is an abundant number, since it is smaller than the sum of its proper divisors (344415092752488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212111000201112 is a wasteful number, since it uses less digits than its factorization.
212111000201112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1828217 (or 1828213 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 212111000201112 its reverse (211102000111212), we get a palindrome (423213000312324).
The spelling of 212111000201112 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred one thousand, one hundred twelve".
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