| Base | Representation |
|---|---|
| bin | 1001101100110010001110… |
| … | …00100101100000011110000 |
| 3 | 2210112010110101010000210200 |
| 4 | 10312121013010230003300 |
| 5 | 10243432320000101222 |
| 6 | 113210511113555200 |
| 7 | 4331020166354640 |
| oct | 466310704540360 |
| 9 | 83463411100720 |
| 10 | 21330000003312 |
| 11 | 6884002a257a0 |
| 12 | 2485a91a15b00 |
| 13 | bb9544774910 |
| 14 | 53a53dc52520 |
| 15 | 26ec978d5eac |
| hex | 13664712c0f0 |
21330000003312 has 480 divisors, whose sum is σ = 82315303150080. Its totient is φ = 4975866132480.
The previous prime is 21330000003307. The next prime is 21330000003313.
21330000003312 is a `hidden beast` number, since 2 + 1 + 330 + 0 + 0 + 0 + 0 + 0 + 331 + 2 = 666.
21330000003312 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21330000003313) 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 95 ways as a sum of consecutive naturals, for example, 3333639 + ... + 7333017.
It is an arithmetic number, because the mean of its divisors is an integer number (171490214896).
Almost surely, 221330000003312 is an apocalyptic number.
21330000003312 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 21330000003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41157651575040).
21330000003312 is an abundant number, since it is smaller than the sum of its proper divisors (60985303146768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21330000003312 is a wasteful number, since it uses less digits than its factorization.
21330000003312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3999461 (or 3999452 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
It can be divided in two parts, 2133000000 and 3312, that added together give a palindrome (2133003312).
The spelling of 21330000003312 in words is "twenty-one trillion, three hundred thirty billion, three thousand, three hundred twelve".
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