Base | Representation |
---|---|
bin | 1111110000101… |
… | …10100100010100 |
3 | 100012210010011020 |
4 | 13320112210110 |
5 | 232321304022 |
6 | 21041441140 |
7 | 3163535451 |
oct | 770264424 |
9 | 305703136 |
10 | 132213012 |
11 | 686a3658 |
12 | 383401b0 |
13 | 21511b69 |
14 | 137b8828 |
15 | b91935c |
hex | 7e16914 |
132213012 has 48 divisors (see below), whose sum is σ = 327458880. Its totient is φ = 41375232.
The previous prime is 132213007. The next prime is 132213031. The reversal of 132213012 is 210312231.
It is a super-3 number, since 3×1322130123 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 132212982 and 132213000.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150318 + ... + 151194.
It is an arithmetic number, because the mean of its divisors is an integer number (6822060).
Almost surely, 2132213012 is an apocalyptic number.
132213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
132213012 is an abundant number, since it is smaller than the sum of its proper divisors (195245868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132213012 is a wasteful number, since it uses less digits than its factorization.
132213012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1640 (or 1638 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 132213012 is about 11498.3917136267. The cubic root of 132213012 is about 509.4380738987.
Adding to 132213012 its reverse (210312231), we get a palindrome (342525243).
The spelling of 132213012 in words is "one hundred thirty-two million, two hundred thirteen thousand, twelve".
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