Base | Representation |
---|---|
bin | 1111110111011… |
… | …11101011111100 |
3 | 100021110022002000 |
4 | 13323233223330 |
5 | 233033233312 |
6 | 21112502300 |
7 | 3204231306 |
oct | 773575374 |
9 | 307408060 |
10 | 133102332 |
11 | 69150830 |
12 | 386aa990 |
13 | 2176389c |
14 | 1396a976 |
15 | ba42adc |
hex | 7eefafc |
133102332 has 96 divisors (see below), whose sum is σ = 379142400. Its totient is φ = 40046400.
The previous prime is 133102331. The next prime is 133102349. The reversal of 133102332 is 233201331.
133102332 is a `hidden beast` number, since 1 + 331 + 0 + 2 + 332 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (133102331) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214719 + ... + 215337.
It is an arithmetic number, because the mean of its divisors is an integer number (3949400).
Almost surely, 2133102332 is an apocalyptic number.
133102332 is a gapful number since it is divisible by the number (12) 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 133102332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571200).
133102332 is an abundant number, since it is smaller than the sum of its proper divisors (246040068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133102332 is a wasteful number, since it uses less digits than its factorization.
133102332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 824 (or 816 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 133102332 is about 11536.9983964634. The cubic root of 133102332 is about 510.5777535492.
Adding to 133102332 its reverse (233201331), we get a palindrome (366303663).
The spelling of 133102332 in words is "one hundred thirty-three million, one hundred two thousand, three hundred thirty-two".
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