Base | Representation |
---|---|
bin | 11101110011000000111… |
… | …11101011011000011000 |
3 | 10121212122212002101020200 |
4 | 32321200133223120120 |
5 | 113233241202231321 |
6 | 2102200440022200 |
7 | 133653146021241 |
oct | 16714037533030 |
9 | 3555585071220 |
10 | 1023821133336 |
11 | 36522237aa51 |
12 | 14650b761960 |
13 | 757134c9b01 |
14 | 377a6001cc8 |
15 | 1b972bc4d26 |
hex | ee607eb618 |
1023821133336 has 96 divisors (see below), whose sum is σ = 2813931731520. Its totient is φ = 336227673600.
The previous prime is 1023821133289. The next prime is 1023821133347. The reversal of 1023821133336 is 6333311283201.
1023821133336 is a `hidden beast` number, since 102 + 3 + 8 + 211 + 3 + 3 + 336 = 666.
It is a super-2 number, since 2×10238211333362 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1023821133336.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4681306 + ... + 4895126.
It is an arithmetic number, because the mean of its divisors is an integer number (29311788870).
Almost surely, 21023821133336 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1023821133336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406965865760).
1023821133336 is an abundant number, since it is smaller than the sum of its proper divisors (1790110598184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023821133336 is a wasteful number, since it uses less digits than its factorization.
1023821133336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 214817 (or 214810 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The spelling of 1023821133336 in words is "one trillion, twenty-three billion, eight hundred twenty-one million, one hundred thirty-three thousand, three hundred thirty-six".
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