| Base | Representation |
|---|---|
| bin | 1001000111111100100010… |
| … | …0010110010110001001000 |
| 3 | 1022112001122012212211220120 |
| 4 | 2101333020202302301020 |
| 5 | 2303331231434401300 |
| 6 | 33200404510223240 |
| 7 | 2053540055135550 |
| oct | 221771042626110 |
| 9 | 38461565784816 |
| 10 | 10032113200200 |
| 11 | 32186604016a3 |
| 12 | 116035a4b4b20 |
| 13 | 57a041280830 |
| 14 | 2697b209c160 |
| 15 | 125e593403a0 |
| hex | 91fc88b2c48 |
10032113200200 has 768 divisors, whose sum is σ = 39358387568640. Its totient is φ = 2056969728000.
The previous prime is 10032113200183. The next prime is 10032113200217. The reversal of 10032113200200 is 200231123001.
It is an interprime number because it is at equal distance from previous prime (10032113200183) and next prime (10032113200217).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 10032113200200.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2002015695 + ... + 2002020705.
It is an arithmetic number, because the mean of its divisors is an integer number (51247900480).
Almost surely, 210032113200200 is an apocalyptic number.
10032113200200 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 10032113200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679193784320).
10032113200200 is an abundant number, since it is smaller than the sum of its proper divisors (29326274368440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10032113200200 is a wasteful number, since it uses less digits than its factorization.
10032113200200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6078 (or 6069 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 10032113200200 its reverse (200231123001), we get a palindrome (10232344323201).
The spelling of 10032113200200 in words is "ten trillion, thirty-two billion, one hundred thirteen million, two hundred thousand, two hundred".
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