Base | Representation |
---|---|
bin | 1010101001011000110110… |
… | …01101011000101011101100 |
3 | 10001220012022001121210211111 |
4 | 11110230123031120223230 |
5 | 11032041414221134200 |
6 | 121443250043201404 |
7 | 4634325123611443 |
oct | 524543315305354 |
9 | 101805261553744 |
10 | 23412323224300 |
11 | 75071241139aa |
12 | 276156b816264 |
13 | 100aa0755646a |
14 | 5ad23bc31d5a |
15 | 2a901ccde0ba |
hex | 154b1b358aec |
23412323224300 has 144 divisors (see below), whose sum is σ = 52272927756000. Its totient is φ = 9098495078400.
The previous prime is 23412323224237. The next prime is 23412323224319. The reversal of 23412323224300 is 342232321432.
It is a super-3 number, since 3×234123232243003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232627990 + ... + 232728610.
It is an arithmetic number, because the mean of its divisors is an integer number (363006442750).
Almost surely, 223412323224300 is an apocalyptic number.
23412323224300 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 23412323224300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26136463878000).
23412323224300 is an abundant number, since it is smaller than the sum of its proper divisors (28860604531700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23412323224300 is a wasteful number, since it uses less digits than its factorization.
23412323224300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 101156 (or 101149 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 31.
Adding to 23412323224300 its reverse (342232321432), we get a palindrome (23754555545732).
The spelling of 23412323224300 in words is "twenty-three trillion, four hundred twelve billion, three hundred twenty-three million, two hundred twenty-four thousand, three hundred".
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