| Base | Representation |
|---|---|
| bin | 1001101100100100001001… |
| … | …01110011011110010101000 |
| 3 | 2210111101221210221202011100 |
| 4 | 10312102010232123302220 |
| 5 | 10243321331233003222 |
| 6 | 113203221251401400 |
| 7 | 4330332023110665 |
| oct | 466220456336250 |
| 9 | 83441853852140 |
| 10 | 21322444422312 |
| 11 | 6880886001980 |
| 12 | 24845235b3260 |
| 13 | bb890c326127 |
| 14 | 53a0245d2a6c |
| 15 | 26e9a44254ac |
| hex | 136484b9bca8 |
21322444422312 has 384 divisors, whose sum is σ = 64451333232000. Its totient is φ = 6314423040000.
The previous prime is 21322444422247. The next prime is 21322444422347.
21322444422312 is a `hidden beast` number, since 2 + 1 + 3 + 224 + 4 + 4 + 422 + 3 + 1 + 2 = 666.
21322444422312 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×213224444223122 (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 nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2345440887 + ... + 2345449977.
It is an arithmetic number, because the mean of its divisors is an integer number (167842013625).
Almost surely, 221322444422312 is an apocalyptic number.
21322444422312 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 21322444422312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32225666616000).
21322444422312 is an abundant number, since it is smaller than the sum of its proper divisors (43128888809688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21322444422312 is a wasteful number, since it uses less digits than its factorization.
21322444422312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9593 (or 9586 counting only the distinct ones).
The product of its digits is 147456, while the sum is 36.
It can be divided in two parts, 2132244 and 4422312, that added together give a palindrome (6554556).
The spelling of 21322444422312 in words is "twenty-one trillion, three hundred twenty-two billion, four hundred forty-four million, four hundred twenty-two thousand, three hundred twelve".
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