Base | Representation |
---|---|
bin | 11101001110101100101… |
… | …00101100111010000100 |
3 | 10120000100000011020100110 |
4 | 32213112110230322010 |
5 | 112423323210143022 |
6 | 2045214002113020 |
7 | 132363030521355 |
oct | 16472624547204 |
9 | 3500300136313 |
10 | 1004323131012 |
11 | 357a27252243 |
12 | 14278994b770 |
13 | 73926b26626 |
14 | 36876671d2c |
15 | 1b1d106900c |
hex | e9d652ce84 |
1004323131012 has 96 divisors (see below), whose sum is σ = 2546053171200. Its totient is φ = 306896067072.
The previous prime is 1004323130953. The next prime is 1004323131017. The reversal of 1004323131012 is 2101313234001.
1004323131012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10043231310122 (a number of 25 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 1004323131012.
It is not an unprimeable number, because it can be changed into a prime (1004323131017) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2989689 + ... + 3308607.
It is an arithmetic number, because the mean of its divisors is an integer number (26521387200).
Almost surely, 21004323131012 is an apocalyptic number.
1004323131012 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 1004323131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273026585600).
1004323131012 is an abundant number, since it is smaller than the sum of its proper divisors (1541730040188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004323131012 is a wasteful number, since it uses less digits than its factorization.
1004323131012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 319345 (or 319343 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 21.
Adding to 1004323131012 its reverse (2101313234001), we get a palindrome (3105636365013).
The spelling of 1004323131012 in words is "one trillion, four billion, three hundred twenty-three million, one hundred thirty-one thousand, twelve".
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