Base | Representation |
---|---|
bin | 11001010010011… |
… | …01110110001100 |
3 | 112210011101022120 |
4 | 30221031312030 |
5 | 413301144322 |
6 | 33014412540 |
7 | 5154041226 |
oct | 1451156614 |
9 | 483141276 |
10 | 212131212 |
11 | a9819357 |
12 | 5b061150 |
13 | 34c43c37 |
14 | 2025d416 |
15 | 13953a5c |
hex | ca4dd8c |
212131212 has 96 divisors (see below), whose sum is σ = 534825984. Its totient is φ = 65318400.
The previous prime is 212131189. The next prime is 212131223.
212131212 is nontrivially palindromic in base 10.
212131212 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 2×2121312122 = 89999302209177888, which contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 212131191 and 212131200.
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, 782637 + ... + 782907.
It is an arithmetic number, because the mean of its divisors is an integer number (5571104).
Almost surely, 2212131212 is an apocalyptic number.
It is an amenable number.
212131212 is an abundant number, since it is smaller than the sum of its proper divisors (322694772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212131212 is a wasteful number, since it uses less digits than its factorization.
212131212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 399 (or 397 counting only the distinct ones).
The product of its digits is 48, while the sum is 15.
The square root of 212131212 is about 14564.7249201624. The cubic root of 212131212 is about 596.3961864394.
It can be divided in two parts, 2121 and 31212, that added together give a palindrome (33333).
The spelling of 212131212 in words is "two hundred twelve million, one hundred thirty-one thousand, two hundred twelve".
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