Base | Representation |
---|---|
bin | 11101110010000101101… |
… | …11010000111100000000 |
3 | 10121211101012122101111220 |
4 | 32321002313100330000 |
5 | 113231231421000000 |
6 | 2102035240435040 |
7 | 133634631324021 |
oct | 16710267207400 |
9 | 3554335571456 |
10 | 1023324000000 |
11 | 364a977a1355 |
12 | 1463b1178a80 |
13 | 75664509783 |
14 | 37759d94c48 |
15 | 1b9442261a0 |
hex | ee42dd0f00 |
1023324000000 has 504 divisors, whose sum is σ = 3470763386160. Its totient is φ = 267571200000.
The previous prime is 1023323999989. The next prime is 1023324000079. The reversal of 1023324000000 is 4233201.
It is a super-4 number, since 4×10233240000004 (a number of 49 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 635999196 + ... + 636000804.
It is an arithmetic number, because the mean of its divisors is an integer number (6886435290).
Almost surely, 21023324000000 is an apocalyptic number.
1023324000000 is a gapful number since it is divisible by the number (10) 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 1023324000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735381693080).
1023324000000 is an abundant number, since it is smaller than the sum of its proper divisors (2447439386160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023324000000 is an frugal number, since it uses more digits than its factorization.
1023324000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1711 (or 1672 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
Adding to 1023324000000 its reverse (4233201), we get a palindrome (1023328233201).
The spelling of 1023324000000 in words is "one trillion, twenty-three billion, three hundred twenty-four million", and thus it is an aban number.
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