Base | Representation |
---|---|
bin | 1010101001101011011101… |
… | …00101111110010000110000 |
3 | 10001221011002012110221101122 |
4 | 11110311232211332100300 |
5 | 11032222343400110300 |
6 | 121452021151521412 |
7 | 4635130505015510 |
oct | 524655645762060 |
9 | 101834065427348 |
10 | 23422312113200 |
11 | 751038a629a90 |
12 | 2763498b29268 |
13 | 100b939b53400 |
14 | 5ad908701840 |
15 | 2a9404c04c85 |
hex | 154d6e97e430 |
23422312113200 has 720 divisors, whose sum is σ = 77822906015232. Its totient is φ = 6574464000000.
The previous prime is 23422312113181. The next prime is 23422312113209. The reversal of 23422312113200 is 231121322432.
It is a super-2 number, since 2×234223121132002 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a self number, because there is not a number n which added to its sum of digits gives 23422312113200.
It is not an unprimeable number, because it can be changed into a prime (23422312113209) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 213358325 + ... + 213468075.
Almost surely, 223422312113200 is an apocalyptic number.
23422312113200 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 23422312113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38911453007616).
23422312113200 is an abundant number, since it is smaller than the sum of its proper divisors (54400593902032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23422312113200 is a wasteful number, since it uses less digits than its factorization.
23422312113200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 109854 (or 109830 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 26.
Adding to 23422312113200 its reverse (231121322432), we get a palindrome (23653433435632).
The spelling of 23422312113200 in words is "twenty-three trillion, four hundred twenty-two billion, three hundred twelve million, one hundred thirteen thousand, two hundred".
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