Base | Representation |
---|---|
bin | 1111110000000… |
… | …00011000001100 |
3 | 100012121111111000 |
4 | 13320000120030 |
5 | 232310401444 |
6 | 21035500300 |
7 | 3163006461 |
oct | 770003014 |
9 | 305544430 |
10 | 132122124 |
11 | 68641342 |
12 | 382b7690 |
13 | 214ac694 |
14 | 13793668 |
15 | b8ec469 |
hex | 7e0060c |
132122124 has 144 divisors (see below), whose sum is σ = 378134400. Its totient is φ = 39774240.
The previous prime is 132122119. The next prime is 132122129. The reversal of 132122124 is 421221231.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (132122119) and next prime (132122129).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 132122097 and 132122106.
It is not an unprimeable number, because it can be changed into a prime (132122129) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971939 + ... + 1972005.
Almost surely, 2132122124 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189067200).
132122124 is an abundant number, since it is smaller than the sum of its proper divisors (246012276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132122124 is a wasteful number, since it uses less digits than its factorization.
132122124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 161 (or 122 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 132122124 is about 11494.4388292774. The cubic root of 132122124 is about 509.3213117615.
Adding to 132122124 its reverse (421221231), we get a palindrome (553343355).
The spelling of 132122124 in words is "one hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty-four".
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