Base | Representation |
---|---|
bin | 11110000000111001011111… |
… | …001101101111011101010010 |
3 | 122022101101010120001002000200 |
4 | 132000321133031233131102 |
5 | 114300214343303004132 |
6 | 1144425221445000030 |
7 | 36542624266346151 |
oct | 3600713715573522 |
9 | 568341116032020 |
10 | 132003122313042 |
11 | 39073234260012 |
12 | 1297b10a6b3016 |
13 | 5886ac1957766 |
14 | 2484db15b3598 |
15 | 103da8672ad7c |
hex | 780e5f36f752 |
132003122313042 has 192 divisors, whose sum is σ = 329791866768000. Its totient is φ = 37876735862784.
The previous prime is 132003122313001. The next prime is 132003122313067. The reversal of 132003122313042 is 240313221300231.
132003122313042 is a `hidden beast` number, since 1 + 3 + 20 + 0 + 312 + 23 + 1 + 304 + 2 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 132003122312997 and 132003122313015.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2210226193 + ... + 2210285915.
It is an arithmetic number, because the mean of its divisors is an integer number (1717665972750).
Almost surely, 2132003122313042 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132003122313042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164895933384000).
132003122313042 is an abundant number, since it is smaller than the sum of its proper divisors (197788744454958).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132003122313042 is a wasteful number, since it uses less digits than its factorization.
132003122313042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72905 (or 72902 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 132003122313042 its reverse (240313221300231), we get a palindrome (372316343613273).
The spelling of 132003122313042 in words is "one hundred thirty-two trillion, three billion, one hundred twenty-two million, three hundred thirteen thousand, forty-two".
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