| Base | Representation |
|---|---|
| bin | 1100010101110011111… |
| … | …0010011010010101000 |
| 3 | 202021020120022011112211 |
| 4 | 3011130332103102220 |
| 5 | 11433200341431240 |
| 6 | 241221511214504 |
| 7 | 21213612514600 |
| oct | 3053476232250 |
| 9 | 667216264484 |
| 10 | 212013233320 |
| 11 | 81a06a411a9 |
| 12 | 3510a977434 |
| 13 | 16cba138165 |
| 14 | a393785c00 |
| 15 | 57ace5abea |
| hex | 315cf934a8 |
212013233320 has 192 divisors, whose sum is σ = 561033092880. Its totient is φ = 71892946944.
The previous prime is 212013233303. The next prime is 212013233359. The reversal of 212013233320 is 23332310212.
212013233320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 16084834276 + 195928399044 = 126826^2 + 442638^2 .
It is a super-2 number, since 2×2120132333202 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 212013233291 and 212013233300.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 71697282 + ... + 71700238.
Almost surely, 2212013233320 is an apocalyptic number.
212013233320 is a gapful number since it is divisible by the number (20) 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 212013233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280516546440).
212013233320 is an abundant number, since it is smaller than the sum of its proper divisors (349019859560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212013233320 is a wasteful number, since it uses less digits than its factorization.
212013233320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3372 (or 3361 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 22.
Adding to 212013233320 its reverse (23332310212), we get a palindrome (235345543532).
The spelling of 212013233320 in words is "two hundred twelve billion, thirteen million, two hundred thirty-three thousand, three hundred twenty".
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