Base | Representation |
---|---|
bin | 111101100010000111… |
… | …0011000001001001100 |
3 | 110122002010211112000020 |
4 | 1323010032120021030 |
5 | 4131111111401444 |
6 | 140412122502140 |
7 | 12355403001624 |
oct | 1730416301114 |
9 | 418063745006 |
10 | 132141122124 |
11 | 5104a244950 |
12 | 21739964950 |
13 | c5cb65cbbb |
14 | 65779bb884 |
15 | 3685d00119 |
hex | 1ec439824c |
132141122124 has 96 divisors (see below), whose sum is σ = 342592588800. Its totient is φ = 39302813760.
The previous prime is 132141122089. The next prime is 132141122137. The reversal of 132141122124 is 421221141231.
It is a super-2 number, since 2×1321411221242 (a number of 23 digits) contains 22 as substring.
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 = 132141122094 and 132141122103.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5119419 + ... + 5145165.
It is an arithmetic number, because the mean of its divisors is an integer number (3568672800).
Almost surely, 2132141122124 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 132141122124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171296294400).
132141122124 is an abundant number, since it is smaller than the sum of its proper divisors (210451466676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132141122124 is a wasteful number, since it uses less digits than its factorization.
132141122124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26483 (or 26481 counting only the distinct ones).
The product of its digits is 768, while the sum is 24.
Adding to 132141122124 its reverse (421221141231), we get a palindrome (553362263355).
The spelling of 132141122124 in words is "one hundred thirty-two billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred twenty-four".
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