Base | Representation |
---|---|
bin | 1100010110001011001… |
… | …1101011010000101100 |
3 | 202021111101110212202221 |
4 | 3011202303223100230 |
5 | 11433400421024322 |
6 | 241235325125124 |
7 | 21216211461100 |
oct | 3054263532054 |
9 | 667441425687 |
10 | 212111111212 |
11 | 81a57213320 |
12 | 351376b97a4 |
13 | 170044b7a80 |
14 | a3a2783900 |
15 | 57b68419c7 |
hex | 3162ceb42c |
212111111212 has 144 divisors (see below), whose sum is σ = 512316191520. Its totient is φ = 75527424000.
The previous prime is 212111111209. The next prime is 212111111237.
212111111212 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2121111112122 (a number of 23 digits) contains 22 as substring.
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 47 ways as a sum of consecutive naturals, for example, 2793364 + ... + 2868292.
It is an arithmetic number, because the mean of its divisors is an integer number (3557751330).
Almost surely, 2212111111212 is an apocalyptic number.
212111111212 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 212111111212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256158095760).
212111111212 is an abundant number, since it is smaller than the sum of its proper divisors (300205080308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212111111212 is a wasteful number, since it uses less digits than its factorization.
212111111212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75072 (or 75063 counting only the distinct ones).
The product of its digits is 16, while the sum is 16.
It can be divided in two parts, 212111 and 111212, that added together give a palindrome (323323).
The spelling of 212111111212 in words is "two hundred twelve billion, one hundred eleven million, one hundred eleven thousand, two hundred twelve".
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