| Base | Representation |
|---|---|
| bin | 1001101100100011101100… |
| … | …01011001110100011000000 |
| 3 | 2210111101022210121122202200 |
| 4 | 10312101312023032203000 |
| 5 | 10243320331234441000 |
| 6 | 113203141131313200 |
| 7 | 4330323000156060 |
| oct | 466216613164300 |
| 9 | 83441283548680 |
| 10 | 21322200312000 |
| 11 | 6880770231215 |
| 12 | 24844758ab800 |
| 13 | bb88a0896463 |
| 14 | 53a00000b3a0 |
| 15 | 26e98cca6500 |
| hex | 1364762ce8c0 |
21322200312000 has 672 divisors, whose sum is σ = 87477819846144. Its totient is φ = 4856391936000.
The previous prime is 21322200311983. The next prime is 21322200312001. The reversal of 21322200312000 is 21300222312.
21322200312000 is a `hidden beast` number, since 2 + 132 + 220 + 0 + 312 + 0 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×213222003120002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (21322200312001) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142557255 + ... + 142706745.
It is an arithmetic number, because the mean of its divisors is an integer number (130175327152).
Almost surely, 221322200312000 is an apocalyptic number.
21322200312000 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 21322200312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43738909923072).
21322200312000 is an abundant number, since it is smaller than the sum of its proper divisors (66155619534144).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21322200312000 is a wasteful number, since it uses less digits than its factorization.
21322200312000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 149814 (or 149791 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 21322200312000 its reverse (21300222312), we get a palindrome (21343500534312).
The spelling of 21322200312000 in words is "twenty-one trillion, three hundred twenty-two billion, two hundred million, three hundred twelve thousand".
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