| Base | Representation |
|---|---|
| bin | 1010000000111001111000… |
| … | …11100000011000010000000 |
| 3 | 2212222012212001022011202200 |
| 4 | 11000130330130003002000 |
| 5 | 10341244121143441000 |
| 6 | 114500241210313200 |
| 7 | 4431662423466630 |
| oct | 500347434030200 |
| 9 | 85865761264680 |
| 10 | 22021311312000 |
| 11 | 7020205160a70 |
| 12 | 2577a64728800 |
| 13 | c397a6abb7a0 |
| 14 | 561ba121a6c0 |
| 15 | 282c58ca6500 |
| hex | 14073c703080 |
22021311312000 has 3072 divisors, whose sum is σ = 109078974950400. Its totient is φ = 4108713984000.
The previous prime is 22021311311971. The next prime is 22021311312029. The reversal of 22021311312000 is 21311312022.
22021311312000 is a `hidden beast` number, since 2 + 20 + 21 + 311 + 312 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (22021311311971) and next prime (22021311312029).
It is a super-2 number, since 2×220213113120002 (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 an unprimeable number.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5333325936 + ... + 5333330064.
It is an arithmetic number, because the mean of its divisors is an integer number (35507478825).
Almost surely, 222021311312000 is an apocalyptic number.
22021311312000 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 22021311312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54539487475200).
22021311312000 is an abundant number, since it is smaller than the sum of its proper divisors (87057663638400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22021311312000 is a wasteful number, since it uses less digits than its factorization.
22021311312000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4232 (or 4207 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 22021311312000 its reverse (21311312022), we get a palindrome (22042622624022).
The spelling of 22021311312000 in words is "twenty-two trillion, twenty-one billion, three hundred eleven million, three hundred twelve thousand".
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