Base | Representation |
---|---|
bin | 10101101110101100… |
… | …111010010010000100 |
3 | 2020020001110122200002 |
4 | 111232230322102010 |
5 | 340241004301200 |
6 | 14415115540432 |
7 | 1454122414532 |
oct | 255654722204 |
9 | 66201418602 |
10 | 23332103300 |
11 | 9993400600 |
12 | 4631a5a718 |
13 | 227ab1a3ac |
14 | 11b4a5b152 |
15 | 918560bd5 |
hex | 56eb3a484 |
23332103300 has 108 divisors (see below), whose sum is σ = 55806206820. Its totient is φ = 8460883200.
The previous prime is 23332103299. The next prime is 23332103309. The reversal of 23332103300 is 330123332.
It can be written as a sum of positive squares in 6 ways, for example, as 181872196 + 23150231104 = 13486^2 + 152152^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (23332103309) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 4704422 + ... + 4709378.
Almost surely, 223332103300 is an apocalyptic number.
23332103300 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 23332103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27903103410).
23332103300 is an abundant number, since it is smaller than the sum of its proper divisors (32474103520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23332103300 is a wasteful number, since it uses less digits than its factorization.
23332103300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5382 (or 5364 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 20.
Adding to 23332103300 its reverse (330123332), we get a palindrome (23662226632).
The spelling of 23332103300 in words is "twenty-three billion, three hundred thirty-two million, one hundred three thousand, three hundred".
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