| Base | Representation |
|---|---|
| bin | 1001010001110101011011… |
| … | …0101010000101000010000 |
| 3 | 1100010022011012122022021200 |
| 4 | 2110131112311100220100 |
| 5 | 2314122201024132240 |
| 6 | 33410422550351200 |
| 7 | 2102033113204662 |
| oct | 224352665205020 |
| 9 | 40108135568250 |
| 10 | 10202004130320 |
| 11 | 3283711402a72 |
| 12 | 118927265b500 |
| 13 | 590077739a12 |
| 14 | 273acb462532 |
| 15 | 12a59e2e3930 |
| hex | 94756d50a10 |
10202004130320 has 240 divisors, whose sum is σ = 35199894852720. Its totient is φ = 2646090878976.
The previous prime is 10202004130319. The next prime is 10202004130343. The reversal of 10202004130320 is 2303140020201.
10202004130320 is a `hidden beast` number, since 1 + 0 + 20 + 200 + 413 + 0 + 32 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 340570285056 + 9861433845264 = 583584^2 + 3140292^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10202004130293 and 10202004130302.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78709726 + ... + 78839234.
It is an arithmetic number, because the mean of its divisors is an integer number (146666228553).
Almost surely, 210202004130320 is an apocalyptic number.
10202004130320 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 10202004130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599947426360).
10202004130320 is an abundant number, since it is smaller than the sum of its proper divisors (24997890722400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10202004130320 is a wasteful number, since it uses less digits than its factorization.
10202004130320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 132522 (or 132513 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 10202004130320 its reverse (2303140020201), we get a palindrome (12505144150521).
The spelling of 10202004130320 in words is "ten trillion, two hundred two billion, four million, one hundred thirty thousand, three hundred twenty".
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