Base | Representation |
---|---|
bin | 1101100001011011010… |
… | …0100100011000010000 |
3 | 211012122011100022012220 |
4 | 3120112310210120100 |
5 | 12301233121110412 |
6 | 254420001221040 |
7 | 22532612611212 |
oct | 3302664443020 |
9 | 735564308186 |
10 | 232311113232 |
11 | 8a582626870 |
12 | 39034631780 |
13 | 18ba344a8a3 |
14 | b35b44c5b2 |
15 | 6099e1768c |
hex | 3616d24610 |
232311113232 has 320 divisors, whose sum is σ = 708708925440. Its totient is φ = 64855296000.
The previous prime is 232311113219. The next prime is 232311113267.
232311113232 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2323111132322 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45379569 + ... + 45384687.
It is an arithmetic number, because the mean of its divisors is an integer number (2214715392).
Almost surely, 2232311113232 is an apocalyptic number.
232311113232 is a gapful number since it is divisible by the number (22) 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 232311113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354354462720).
232311113232 is an abundant number, since it is smaller than the sum of its proper divisors (476397812208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232311113232 is a wasteful number, since it uses less digits than its factorization.
232311113232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5302 (or 5296 counting only the distinct ones).
The product of its digits is 1296, while the sum is 24.
It can be divided in two parts, 232311 and 113232, that added together give a palindrome (345543).
The spelling of 232311113232 in words is "two hundred thirty-two billion, three hundred eleven million, one hundred thirteen thousand, two hundred thirty-two".
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