Base | Representation |
---|---|
bin | 111101111111010010… |
… | …0111000111110110000 |
3 | 110201121100221212101000 |
4 | 1323332210320332300 |
5 | 4140112221233240 |
6 | 141053213442000 |
7 | 12421561125402 |
oct | 1737644707660 |
9 | 421540855330 |
10 | 133120102320 |
11 | 51501911197 |
12 | 219717a0300 |
13 | c72641a71a |
14 | 662ba16b72 |
15 | 36e1c2d430 |
hex | 1efe938fb0 |
133120102320 has 160 divisors (see below), whose sum is σ = 460853807040. Its totient is φ = 35318384640.
The previous prime is 133120102307. The next prime is 133120102321. The reversal of 133120102320 is 23201021331.
133120102320 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 10 + 2 + 320 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 133120102293 and 133120102302.
It is not an unprimeable number, because it can be changed into a prime (133120102321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269100 + ... + 581940.
It is an arithmetic number, because the mean of its divisors is an integer number (2880336294).
Almost surely, 2133120102320 is an apocalyptic number.
133120102320 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 133120102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230426903520).
133120102320 is an abundant number, since it is smaller than the sum of its proper divisors (327733704720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133120102320 is a wasteful number, since it uses less digits than its factorization.
133120102320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 313060 (or 313048 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 133120102320 its reverse (23201021331), we get a palindrome (156321123651).
The spelling of 133120102320 in words is "one hundred thirty-three billion, one hundred twenty million, one hundred two thousand, three hundred twenty".
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