Base | Representation |
---|---|
bin | 1001011000110101100110… |
… | …1000011111111100100000 |
3 | 1100112210200112201220222200 |
4 | 2112031121220133330200 |
5 | 2323110042402413440 |
6 | 33542000455133200 |
7 | 2113522320013041 |
oct | 226153150377440 |
9 | 40483615656880 |
10 | 10322310201120 |
11 | 331a738008665 |
12 | 11a8648974200 |
13 | 59b50b169168 |
14 | 2798612bc8c8 |
15 | 12d7910a6c30 |
hex | 96359a1ff20 |
10322310201120 has 288 divisors, whose sum is σ = 36254182124160. Its totient is φ = 2673339863040.
The previous prime is 10322310201089. The next prime is 10322310201131. The reversal of 10322310201120 is 2110201322301.
10322310201120 is a `hidden beast` number, since 1 + 0 + 32 + 2 + 310 + 201 + 120 = 666.
10322310201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
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 = 10322310201093 and 10322310201102.
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, 6096636 + ... + 7603524.
It is an arithmetic number, because the mean of its divisors is an integer number (125882576820).
Almost surely, 210322310201120 is an apocalyptic number.
10322310201120 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 10322310201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127091062080).
10322310201120 is an abundant number, since it is smaller than the sum of its proper divisors (25931871923040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10322310201120 is a wasteful number, since it uses less digits than its factorization.
10322310201120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1507048 (or 1507037 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10322310201120 its reverse (2110201322301), we get a palindrome (12432511523421).
The spelling of 10322310201120 in words is "ten trillion, three hundred twenty-two billion, three hundred ten million, two hundred one thousand, one hundred twenty".
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