| Base | Representation |
|---|---|
| bin | 1001101101000001011000… |
| … | …11100001001011101010000 |
| 3 | 2210112220110212210100022000 |
| 4 | 10312200230130021131100 |
| 5 | 10244101004113242200 |
| 6 | 113214335124514000 |
| 7 | 4331426035514526 |
| oct | 466405434113520 |
| 9 | 83486425710260 |
| 10 | 21338143102800 |
| 11 | 6887501551987 |
| 12 | 2487584b4b900 |
| 13 | bba24183ba94 |
| 14 | 53aab352a316 |
| 15 | 2700c274b300 |
| hex | 13682c709750 |
21338143102800 has 720 divisors, whose sum is σ = 81815471510400. Its totient is φ = 5279971737600.
The previous prime is 21338143102777. The next prime is 21338143102813. The reversal of 21338143102800 is 820134183312.
21338143102800 is a `hidden beast` number, since 2 + 1 + 338 + 1 + 4 + 310 + 2 + 8 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (720).
It is a super-2 number, since 2×213381431028002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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 143 ways as a sum of consecutive naturals, for example, 221557056 + ... + 221653344.
It is an arithmetic number, because the mean of its divisors is an integer number (113632599320).
Almost surely, 221338143102800 is an apocalyptic number.
21338143102800 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 21338143102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40907735755200).
21338143102800 is an abundant number, since it is smaller than the sum of its proper divisors (60477328407600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21338143102800 is a wasteful number, since it uses less digits than its factorization.
21338143102800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96421 (or 96387 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 21338143102800 in words is "twenty-one trillion, three hundred thirty-eight billion, one hundred forty-three million, one hundred two thousand, eight hundred".
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