| Base | Representation |
|---|---|
| bin | 1001011001010110011001… |
| … | …0001011101101110100000 |
| 3 | 1100120122101222020212001200 |
| 4 | 2112111212101131232200 |
| 5 | 2323231104210413440 |
| 6 | 33550014124401200 |
| 7 | 2114253406536444 |
| oct | 226254621355640 |
| 9 | 40518358225050 |
| 10 | 10331112201120 |
| 11 | 3323444562527 |
| 12 | 11aa2a46a6200 |
| 13 | 59c2b18b2599 |
| 14 | 27a0582b2824 |
| 15 | 12db08bc1c30 |
| hex | 9656645dba0 |
10331112201120 has 288 divisors, whose sum is σ = 35439813169488. Its totient is φ = 2740544077824.
The previous prime is 10331112201071. The next prime is 10331112201133. The reversal of 10331112201120 is 2110221113301.
10331112201120 is a `hidden beast` number, since 1 + 0 + 331 + 1 + 1 + 220 + 112 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 9689299719696 + 641812481424 = 3112764^2 + 801132^2 .
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 = 10331112201093 and 10331112201102.
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, 280132122 + ... + 280168998.
Almost surely, 210331112201120 is an apocalyptic number.
10331112201120 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 10331112201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17719906584744).
10331112201120 is an abundant number, since it is smaller than the sum of its proper divisors (25108700968368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10331112201120 is a wasteful number, since it uses less digits than its factorization.
10331112201120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 37912 (or 37901 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
Adding to 10331112201120 its reverse (2110221113301), we get a palindrome (12441333314421).
The spelling of 10331112201120 in words is "ten trillion, three hundred thirty-one billion, one hundred twelve million, two hundred one thousand, one hundred twenty".
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