Base | Representation |
---|---|
bin | 1111111001000… |
… | …11001010110010 |
3 | 100021212000100000 |
4 | 13330203022302 |
5 | 233112010302 |
6 | 21121210430 |
7 | 3206100141 |
oct | 774431262 |
9 | 307760300 |
10 | 133313202 |
11 | 69285200 |
12 | 38790a16 |
13 | 21808869 |
14 | 139c3758 |
15 | ba8531c |
hex | 7f232b2 |
133313202 has 72 divisors (see below), whose sum is σ = 329395248. Its totient is φ = 40380120.
The previous prime is 133313161. The next prime is 133313231. The reversal of 133313202 is 202313331.
133313202 is a `hidden beast` number, since 13 + 331 + 320 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57673 + ... + 59939.
It is an arithmetic number, because the mean of its divisors is an integer number (4574934).
Almost surely, 2133313202 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 133313202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164697624).
133313202 is an abundant number, since it is smaller than the sum of its proper divisors (196082046).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133313202 is a wasteful number, since it uses less digits than its factorization.
133313202 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2306 (or 2283 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
The square root of 133313202 is about 11546.1336385822. The cubic root of 133313202 is about 510.8472422505.
Adding to 133313202 its reverse (202313331), we get a palindrome (335626533).
It can be divided in two parts, 1333 and 13202, that added together give a triangular number (14535 = T170).
The spelling of 133313202 in words is "one hundred thirty-three million, three hundred thirteen thousand, two hundred two".
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