Base | Representation |
---|---|
bin | 1111101111110… |
… | …11010001100100 |
3 | 100012120102210210 |
4 | 13313323101210 |
5 | 232304214340 |
6 | 21035215420 |
7 | 3162561516 |
oct | 767732144 |
9 | 305512723 |
10 | 132101220 |
11 | 68627669 |
12 | 382a7570 |
13 | 214a3004 |
14 | 13789bb6 |
15 | b8e6180 |
hex | 7dfb464 |
132101220 has 96 divisors (see below), whose sum is σ = 397692288. Its totient is φ = 32643072.
The previous prime is 132101197. The next prime is 132101239. The reversal of 132101220 is 22101231.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 132101196 and 132101205.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67374 + ... + 69306.
It is an arithmetic number, because the mean of its divisors is an integer number (4142628).
Almost surely, 2132101220 is an apocalyptic number.
132101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198846144).
132101220 is an abundant number, since it is smaller than the sum of its proper divisors (265591068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132101220 is a wasteful number, since it uses less digits than its factorization.
132101220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2029 (or 2027 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 132101220 is about 11493.5294840184. The cubic root of 132101220 is about 509.2944492045.
Adding to 132101220 its reverse (22101231), we get a palindrome (154202451).
The spelling of 132101220 in words is "one hundred thirty-two million, one hundred one thousand, two hundred twenty".
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