| Base | Representation |
|---|---|
| bin | 1001100110010100101011… |
| … | …10101011011100000000000 |
| 3 | 2202201220101122010222100000 |
| 4 | 10303022111311123200000 |
| 5 | 10231313122133312000 |
| 6 | 112520512405200000 |
| 7 | 4306000333016052 |
| oct | 463122565334000 |
| 9 | 82656348128300 |
| 10 | 21107983104000 |
| 11 | 67a89331a6241 |
| 12 | 244aa50a00000 |
| 13 | ba1621c67790 |
| 14 | 52d8bba718d2 |
| 15 | 2691015e6000 |
| hex | 133295d5b800 |
21107983104000 has 2304 divisors, whose sum is σ = 87089175613440. Its totient is φ = 5066617651200.
The previous prime is 21107983103981. The next prime is 21107983104001. The reversal of 21107983104000 is 40138970112.
It is a happy number.
21107983104000 is a `hidden beast` number, since 211 + 0 + 7 + 9 + 8 + 31 + 0 + 400 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21107983104001) 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 191 ways as a sum of consecutive naturals, for example, 34774271697 + ... + 34774272303.
It is an arithmetic number, because the mean of its divisors is an integer number (37799121360).
Almost surely, 221107983104000 is an apocalyptic number.
21107983104000 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 21107983104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43544587806720).
21107983104000 is an abundant number, since it is smaller than the sum of its proper divisors (65981192509440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21107983104000 is an equidigital number, since it uses as much as digits as its factorization.
21107983104000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 715 (or 673 counting only the distinct ones).
The product of its (nonzero) digits is 12096, while the sum is 36.
The spelling of 21107983104000 in words is "twenty-one trillion, one hundred seven billion, nine hundred eighty-three million, one hundred four thousand".
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