| Base | Representation |
|---|---|
| bin | 1100011010111111000… |
| … | …0110011100010011000 |
| 3 | 202101211100220012112220 |
| 4 | 3012233300303202120 |
| 5 | 11444021431014222 |
| 6 | 242011405504040 |
| 7 | 21263206543653 |
| oct | 3065760634230 |
| 9 | 671740805486 |
| 10 | 213402204312 |
| 11 | 82559a87710 |
| 12 | 35437b72020 |
| 13 | 1717bb2489b |
| 14 | a48602689a |
| 15 | 583ed72b5c |
| hex | 31afc33898 |
213402204312 has 128 divisors (see below), whose sum is σ = 597408549120. Its totient is φ = 62976960000.
The previous prime is 213402204311. The next prime is 213402204319.
It is a happy number.
213402204312 is nontrivially palindromic in base 10.
213402204312 is digitally balanced in base 2, 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 a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213402204311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560903 + ... + 1692105.
It is an arithmetic number, because the mean of its divisors is an integer number (4667254290).
Almost surely, 2213402204312 is an apocalyptic number.
213402204312 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 213402204312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298704274560).
213402204312 is an abundant number, since it is smaller than the sum of its proper divisors (384006344808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213402204312 is a wasteful number, since it uses less digits than its factorization.
213402204312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 131385 (or 131381 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
It can be divided in two parts, 213402 and 204312, that added together give a palindrome (417714).
The spelling of 213402204312 in words is "two hundred thirteen billion, four hundred two million, two hundred four thousand, three hundred twelve".
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