Base | Representation |
---|---|
bin | 11101110000001111101… |
… | …00000111111100111100 |
3 | 10121201211011111200102211 |
4 | 32320013310013330330 |
5 | 113222214312233040 |
6 | 2101353051030204 |
7 | 133601241564064 |
oct | 16700764077474 |
9 | 3551734450384 |
10 | 1022333321020 |
11 | 3646295645a0 |
12 | 14617543b364 |
13 | 755371b40ab |
14 | 376a45923a4 |
15 | 1b8d72868ea |
hex | ee07d07f3c |
1022333321020 has 96 divisors (see below), whose sum is σ = 2364511564800. Its totient is φ = 368198611200.
The previous prime is 1022333321017. The next prime is 1022333321039. The reversal of 1022333321020 is 201233332201.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 1022333320982 and 1022333321000.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 72196701 + ... + 72210859.
It is an arithmetic number, because the mean of its divisors is an integer number (24630328800).
Almost surely, 21022333321020 is an apocalyptic number.
1022333321020 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 1022333321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182255782400).
1022333321020 is an abundant number, since it is smaller than the sum of its proper divisors (1342178243780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022333321020 is a wasteful number, since it uses less digits than its factorization.
1022333321020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17299 (or 17297 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 22.
Adding to 1022333321020 its reverse (201233332201), we get a palindrome (1223566653221).
The spelling of 1022333321020 in words is "one trillion, twenty-two billion, three hundred thirty-three million, three hundred twenty-one thousand, twenty".
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