| Base | Representation |
|---|---|
| bin | 101111001011111001… |
| … | …1001011000111110000 |
| 3 | 100200112221012021121200 |
| 4 | 1132113303023013300 |
| 5 | 3130011220203240 |
| 6 | 114314551251200 |
| 7 | 10215035323023 |
| oct | 1362763130760 |
| 9 | 320487167550 |
| 10 | 101331022320 |
| 11 | 39a797a1950 |
| 12 | 1777b679b00 |
| 13 | 972b4b9b08 |
| 14 | 4c93b391ba |
| 15 | 2981006930 |
| hex | 1797ccb1f0 |
101331022320 has 240 divisors, whose sum is σ = 371580404832. Its totient is φ = 24542576640.
The previous prime is 101331022279. The next prime is 101331022327. The reversal of 101331022320 is 23220133101.
101331022320 is a `hidden beast` number, since 1 + 0 + 13 + 310 + 22 + 320 = 666.
101331022320 is digitally balanced in base 3, 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 (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 = 101331022293 and 101331022302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101331022327) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9633384 + ... + 9643896.
Almost surely, 2101331022320 is an apocalyptic number.
101331022320 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 101331022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185790202416).
101331022320 is an abundant number, since it is smaller than the sum of its proper divisors (270249382512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101331022320 is a wasteful number, since it uses less digits than its factorization.
101331022320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11760 (or 11751 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 101331022320 its reverse (23220133101), we get a palindrome (124551155421).
The spelling of 101331022320 in words is "one hundred one billion, three hundred thirty-one million, twenty-two thousand, three hundred twenty".
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