Base | Representation |
---|---|
bin | 1100010111000000001… |
… | …0111000101110001000 |
3 | 202022001212101021111020 |
4 | 3011300002320232020 |
5 | 11434324244433222 |
6 | 241313341232440 |
7 | 21224546304030 |
oct | 3056002705610 |
9 | 668055337436 |
10 | 212333202312 |
11 | 82060614690 |
12 | 35199b62720 |
13 | 1703b50821a |
14 | a3c40768c0 |
15 | 57cb0b165c |
hex | 31700b8b88 |
212333202312 has 128 divisors (see below), whose sum is σ = 664565299200. Its totient is φ = 54922521600.
The previous prime is 212333202311. The next prime is 212333202461. The reversal of 212333202312 is 213202333212.
212333202312 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 (24).
It is not an unprimeable number, because it can be changed into a prime (212333202311) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206989 + ... + 683747.
It is an arithmetic number, because the mean of its divisors is an integer number (5191916400).
Almost surely, 2212333202312 is an apocalyptic number.
212333202312 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 212333202312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332282649600).
212333202312 is an abundant number, since it is smaller than the sum of its proper divisors (452232096888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212333202312 is a wasteful number, since it uses less digits than its factorization.
212333202312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 477027 (or 477023 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 24.
Adding to 212333202312 its reverse (213202333212), we get a palindrome (425535535524).
The spelling of 212333202312 in words is "two hundred twelve billion, three hundred thirty-three million, two hundred two thousand, three hundred twelve".
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