Base | Representation |
---|---|
bin | 1111110000101… |
… | …10010110100101 |
3 | 100012210001221200 |
4 | 13320112112211 |
5 | 232321242013 |
6 | 21041433113 |
7 | 3163533054 |
oct | 770262645 |
9 | 305701850 |
10 | 132212133 |
11 | 686a2a29 |
12 | 3833b799 |
13 | 21511641 |
14 | 137b839b |
15 | b918e73 |
hex | 7e165a5 |
132212133 has 12 divisors (see below), whose sum is σ = 191144460. Its totient is φ = 88062336.
The previous prime is 132212123. The next prime is 132212183. The reversal of 132212133 is 331212231.
It can be written as a sum of positive squares in 2 ways, for example, as 126292644 + 5919489 = 11238^2 + 2433^2 .
It is not a de Polignac number, because 132212133 - 213 = 132203941 is a prime.
It is a super-3 number, since 3×1322121333 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 11 ways as a sum of consecutive naturals, for example, 5085 + ... + 17037.
It is an arithmetic number, because the mean of its divisors is an integer number (15928705).
Almost surely, 2132212133 is an apocalyptic number.
It is an amenable number.
132212133 is a deficient number, since it is larger than the sum of its proper divisors (58932327).
132212133 is a wasteful number, since it uses less digits than its factorization.
132212133 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13188 (or 13185 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 132212133 is about 11498.3534908264. The cubic root of 132212133 is about 509.4369449200.
Adding to 132212133 its reverse (331212231), we get a palindrome (463424364).
The spelling of 132212133 in words is "one hundred thirty-two million, two hundred twelve thousand, one hundred thirty-three".
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