Base | Representation |
---|---|
bin | 11101101111101011110… |
… | …11110000001101000100 |
3 | 10121201001021000121111210 |
4 | 32313311323300031010 |
5 | 113221111013043022 |
6 | 2101303213131420 |
7 | 133560636655461 |
oct | 16676573601504 |
9 | 3551037017453 |
10 | 1022033331012 |
11 | 364495197671 |
12 | 1460b0a89b70 |
13 | 754b9cbaa05 |
14 | 376767c2668 |
15 | 1b8bac7aa0c |
hex | edf5ef0344 |
1022033331012 has 96 divisors (see below), whose sum is σ = 2517016320000. Its totient is φ = 321879312000.
The previous prime is 1022033331001. The next prime is 1022033331037. The reversal of 1022033331012 is 2101333302201.
It is a self number, because there is not a number n which added to its sum of digits gives 1022033331012.
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, 267476062 + ... + 267479882.
It is an arithmetic number, because the mean of its divisors is an integer number (26218920000).
Almost surely, 21022033331012 is an apocalyptic number.
1022033331012 is a gapful number since it is divisible by the number (12) 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 1022033331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258508160000).
1022033331012 is an abundant number, since it is smaller than the sum of its proper divisors (1494982988988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022033331012 is a wasteful number, since it uses less digits than its factorization.
1022033331012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6697 (or 6695 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 21.
Adding to 1022033331012 its reverse (2101333302201), we get a palindrome (3123366633213).
The spelling of 1022033331012 in words is "one trillion, twenty-two billion, thirty-three million, three hundred thirty-one thousand, twelve".
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