| Base | Representation |
|---|---|
| bin | 1001101100100101101110… |
| … | …10111110001111010000000 |
| 3 | 2210111111011000210221110100 |
| 4 | 10312102313113301322000 |
| 5 | 10243330101243342400 |
| 6 | 113203441443402400 |
| 7 | 4330362051330252 |
| oct | 466226727617200 |
| 9 | 83444130727410 |
| 10 | 21323294121600 |
| 11 | 68811816a8599 |
| 12 | 2484720083400 |
| 13 | bb8a1638a583 |
| 14 | 53a0a53b7cd2 |
| 15 | 26ea03d18100 |
| hex | 1364b75f1e80 |
21323294121600 has 576 divisors, whose sum is σ = 77102557084800. Its totient is φ = 5610539827200.
The previous prime is 21323294121587. The next prime is 21323294121631. The reversal of 21323294121600 is 612149232312.
21323294121600 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 3 + 2 + 9 + 41 + 2 + 1 + 600 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×213232941216002 (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 an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1258522729 + ... + 1258539671.
It is an arithmetic number, because the mean of its divisors is an integer number (133858606050).
Almost surely, 221323294121600 is an apocalyptic number.
21323294121600 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 21323294121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38551278542400).
21323294121600 is an abundant number, since it is smaller than the sum of its proper divisors (55779262963200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21323294121600 is a wasteful number, since it uses less digits than its factorization.
21323294121600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17553 (or 17533 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 36.
The spelling of 21323294121600 in words is "twenty-one trillion, three hundred twenty-three billion, two hundred ninety-four million, one hundred twenty-one thousand, six hundred".
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