| Base | Representation |
|---|---|
| bin | 11101100100000011010100… |
| … | …110110011011111110000000 |
| 3 | 122001100212110120102221002120 |
| 4 | 131210003110312123332000 |
| 5 | 114020230120140242030 |
| 6 | 1140310423544444240 |
| 7 | 36246460103406300 |
| oct | 3544032466337600 |
| 9 | 561325416387076 |
| 10 | 130020821024640 |
| 11 | 3847957a918207 |
| 12 | 126baaa5a79680 |
| 13 | 5771bac094600 |
| 14 | 2417081523600 |
| 15 | 1007217441010 |
| hex | 7640d4d9bf80 |
130020821024640 has 2304 divisors, whose sum is σ = 554009269248000. Its totient is φ = 25776877142016.
The previous prime is 130020821024573. The next prime is 130020821024641. The reversal of 130020821024640 is 46420128020031.
130020821024640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130020821024641) by changing a digit.
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 287 ways as a sum of consecutive naturals, for example, 38365540066 + ... + 38365543454.
It is an arithmetic number, because the mean of its divisors is an integer number (240455412000).
Almost surely, 2130020821024640 is an apocalyptic number.
130020821024640 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 130020821024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277004634624000).
130020821024640 is an abundant number, since it is smaller than the sum of its proper divisors (423988448223360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130020821024640 is a wasteful number, since it uses less digits than its factorization.
130020821024640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3597 (or 3565 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 33.
Adding to 130020821024640 its reverse (46420128020031), we get a palindrome (176440949044671).
The spelling of 130020821024640 in words is "one hundred thirty trillion, twenty billion, eight hundred twenty-one million, twenty-four thousand, six hundred forty".
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