Base | Representation |
---|---|
bin | 110100101000010000… |
… | …1100101101111100000 |
3 | 101210201120022121001200 |
4 | 1221100201211233200 |
5 | 3322431123213240 |
6 | 123530513401200 |
7 | 11110513162644 |
oct | 1512041455740 |
9 | 353646277050 |
10 | 113020132320 |
11 | 43a27a11237 |
12 | 19aa2269200 |
13 | a87210cb54 |
14 | 568234ac24 |
15 | 2e17316930 |
hex | 1a50865be0 |
113020132320 has 288 divisors, whose sum is σ = 399527541504. Its totient is φ = 29063577600.
The previous prime is 113020132307. The next prime is 113020132387. The reversal of 113020132320 is 23231020311.
113020132320 is a `hidden beast` number, since 11 + 302 + 0 + 1 + 32 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×1130201323203 (a number of 34 digits) contains 333 as substring.
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 = 113020132293 and 113020132302.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13075200 + ... + 13083840.
It is an arithmetic number, because the mean of its divisors is an integer number (1387248408).
Almost surely, 2113020132320 is an apocalyptic number.
113020132320 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 113020132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199763770752).
113020132320 is an abundant number, since it is smaller than the sum of its proper divisors (286507409184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113020132320 is a wasteful number, since it uses less digits than its factorization.
113020132320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8986 (or 8975 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 113020132320 its reverse (23231020311), we get a palindrome (136251152631).
The spelling of 113020132320 in words is "one hundred thirteen billion, twenty million, one hundred thirty-two thousand, three hundred twenty".
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