Base | Representation |
---|---|
bin | 1101100100010111101… |
… | …1000000011001100100 |
3 | 211021200020021110212100 |
4 | 3121011323000121210 |
5 | 12304342420030040 |
6 | 255030230252100 |
7 | 22561316420226 |
oct | 3310573003144 |
9 | 737606243770 |
10 | 233101330020 |
11 | 8a948695399 |
12 | 392151b7030 |
13 | 18c9b0867a0 |
14 | b3d438c416 |
15 | 60e44aab30 |
hex | 3645ec0664 |
233101330020 has 144 divisors (see below), whose sum is σ = 762876000432. Its totient is φ = 57272417280.
The previous prime is 233101330001. The next prime is 233101330037. The reversal of 233101330020 is 20033101332.
233101330020 is a `hidden beast` number, since 2 + 3 + 310 + 1 + 330 + 0 + 20 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 5434933284 + 227666396736 = 73722^2 + 477144^2 .
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 = 233101329975 and 233101330002.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173874 + ... + 1358006.
It is an arithmetic number, because the mean of its divisors is an integer number (5297750003).
Almost surely, 2233101330020 is an apocalyptic number.
233101330020 is a gapful number since it is divisible by the number (20) 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 233101330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381438000216).
233101330020 is an abundant number, since it is smaller than the sum of its proper divisors (529774670412).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233101330020 is a wasteful number, since it uses less digits than its factorization.
233101330020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 184702 (or 184697 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 233101330020 its reverse (20033101332), we get a palindrome (253134431352).
The spelling of 233101330020 in words is "two hundred thirty-three billion, one hundred one million, three hundred thirty thousand, twenty".
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