Base | Representation |
---|---|
bin | 1111110000000… |
… | …00100110000100 |
3 | 100012121112200220 |
4 | 13320000212010 |
5 | 232310414022 |
6 | 21035504340 |
7 | 3163012200 |
oct | 770004604 |
9 | 305545626 |
10 | 132123012 |
11 | 68641a7a |
12 | 382b80b0 |
13 | 214acbc8 |
14 | 13793b00 |
15 | b8ec85c |
hex | 7e00984 |
132123012 has 36 divisors (see below), whose sum is σ = 358621200. Its totient is φ = 37749264.
The previous prime is 132123001. The next prime is 132123059. The reversal of 132123012 is 210321231.
132123012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 132122982 and 132123000.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111762 + ... + 112937.
It is an arithmetic number, because the mean of its divisors is an integer number (9961700).
Almost surely, 2132123012 is an apocalyptic number.
132123012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
132123012 is an abundant number, since it is smaller than the sum of its proper divisors (226498188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132123012 is a wasteful number, since it uses less digits than its factorization.
132123012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 224720 (or 224711 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 132123012 is about 11494.4774565876. The cubic root of 132123012 is about 509.3224528177.
Adding to 132123012 its reverse (210321231), we get a palindrome (342444243).
The spelling of 132123012 in words is "one hundred thirty-two million, one hundred twenty-three thousand, twelve".
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