Base | Representation |
---|---|
bin | 1111110000101… |
… | …10010110011100 |
3 | 100012210001221100 |
4 | 13320112112130 |
5 | 232321241444 |
6 | 21041433100 |
7 | 3163533042 |
oct | 770262634 |
9 | 305701840 |
10 | 132212124 |
11 | 686a2a20 |
12 | 3833b790 |
13 | 21511635 |
14 | 137b8392 |
15 | b918e69 |
hex | 7e1659c |
132212124 has 72 divisors (see below), whose sum is σ = 367396848. Its totient is φ = 39755520.
The previous prime is 132212123. The next prime is 132212183. The reversal of 132212124 is 421212231.
It is a happy number.
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 junction number, because it is equal to n+sod(n) for n = 132212097 and 132212106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132212123) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53034 + ... + 55470.
It is an arithmetic number, because the mean of its divisors is an integer number (5102734).
Almost surely, 2132212124 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 132212124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183698424).
132212124 is an abundant number, since it is smaller than the sum of its proper divisors (235184724).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132212124 is a wasteful number, since it uses less digits than its factorization.
132212124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2595 (or 2590 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 132212124 is about 11498.3530994660. The cubic root of 132212124 is about 509.4369333604.
Adding to 132212124 its reverse (421212231), we get a palindrome (553424355).
The spelling of 132212124 in words is "one hundred thirty-two million, two hundred twelve thousand, one hundred twenty-four".
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