Base | Representation |
---|---|
bin | 1100010110001011011… |
… | …1110111110100001100 |
3 | 202021111110112202200200 |
4 | 3011202313313310030 |
5 | 11433401211224322 |
6 | 241235404453500 |
7 | 21216224022066 |
oct | 3054267676414 |
9 | 667443482620 |
10 | 212112211212 |
11 | 81a578a4810 |
12 | 35137b4a290 |
13 | 170047b1665 |
14 | a3a298c736 |
15 | 57b69ac8ac |
hex | 3162df7d0c |
212112211212 has 72 divisors (see below), whose sum is σ = 585613566720. Its totient is φ = 64199716320.
The previous prime is 212112211159. The next prime is 212112211253.
212112211212 is a `hidden beast` number, since 21 + 211 + 221 + 1 + 212 = 666.
212112211212 is nontrivially palindromic in base 10.
212112211212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
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, 13033 + ... + 651455.
It is an arithmetic number, because the mean of its divisors is an integer number (8133521760).
Almost surely, 2212112211212 is an apocalyptic number.
212112211212 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 212112211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292806783360).
212112211212 is an abundant number, since it is smaller than the sum of its proper divisors (373501355508).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212112211212 is a wasteful number, since it uses less digits than its factorization.
212112211212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 639283 (or 639278 counting only the distinct ones).
The product of its digits is 64, while the sum is 18.
It can be divided in two parts, 212112 and 211212, that added together give a palindrome (423324).
The spelling of 212112211212 in words is "two hundred twelve billion, one hundred twelve million, two hundred eleven thousand, two hundred twelve".
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