Base | Representation |
---|---|
bin | 111101100001100111… |
… | …0010000001100000000 |
3 | 110122000222012111021220 |
4 | 1323003032100030000 |
5 | 4131042310443240 |
6 | 140410322315040 |
7 | 12355110060510 |
oct | 1730316201400 |
9 | 418028174256 |
10 | 132124312320 |
11 | 51040803450 |
12 | 217341b8a80 |
13 | c5c8025880 |
14 | 6575683840 |
15 | 36845ce5d0 |
hex | 1ec3390300 |
132124312320 has 1152 divisors, whose sum is σ = 582502717440. Its totient is φ = 24631050240.
The previous prime is 132124312279. The next prime is 132124312379. The reversal of 132124312320 is 23213421231.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142221616 + ... + 142222544.
It is an arithmetic number, because the mean of its divisors is an integer number (505644720).
Almost surely, 2132124312320 is an apocalyptic number.
132124312320 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 132124312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291251358720).
132124312320 is an abundant number, since it is smaller than the sum of its proper divisors (450378405120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132124312320 is a wasteful number, since it uses less digits than its factorization.
132124312320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1021 (or 1007 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 132124312320 its reverse (23213421231), we get a palindrome (155337733551).
It can be divided in two parts, 132124 and 312320, that added together give a palindrome (444444).
The spelling of 132124312320 in words is "one hundred thirty-two billion, one hundred twenty-four million, three hundred twelve thousand, three hundred twenty".
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