Base | Representation |
---|---|
bin | 111110000001101111… |
… | …0001001010000000000 |
3 | 110201211002110212200202 |
4 | 1330003132021100000 |
5 | 4140244232020112 |
6 | 141105305504332 |
7 | 12423606121550 |
oct | 1740336112000 |
9 | 421732425622 |
10 | 133202220032 |
11 | 515441a9472 |
12 | 219951a20a8 |
13 | c73a43c99b |
14 | 66388b1160 |
15 | 36e904e6c2 |
hex | 1f03789400 |
133202220032 has 88 divisors (see below), whose sum is σ = 305501878464. Its totient is φ = 56863752192.
The previous prime is 133202220023. The next prime is 133202220043. The reversal of 133202220032 is 230022202331.
133202220032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1332022200323 (a number of 34 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 133202219986 and 133202220013.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1806023 + ... + 1878329.
Almost surely, 2133202220032 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 133202220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152750939232).
133202220032 is an abundant number, since it is smaller than the sum of its proper divisors (172299658432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133202220032 is an equidigital number, since it uses as much as digits as its factorization.
133202220032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 72591 (or 72573 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
Adding to 133202220032 its reverse (230022202331), we get a palindrome (363224422363).
The spelling of 133202220032 in words is "one hundred thirty-three billion, two hundred two million, two hundred twenty thousand, thirty-two".
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