Base | Representation |
---|---|
bin | 1111110111100… |
… | …10010101110100 |
3 | 100021110211222200 |
4 | 13323302111310 |
5 | 233034110304 |
6 | 21113024500 |
7 | 3204305100 |
oct | 773622564 |
9 | 307424880 |
10 | 133113204 |
11 | 69158a14 |
12 | 386b5130 |
13 | 21768813 |
14 | 13970900 |
15 | ba45e39 |
hex | 7ef2574 |
133113204 has 108 divisors (see below), whose sum is σ = 398361600. Its totient is φ = 37358496.
The previous prime is 133113199. The next prime is 133113229. The reversal of 133113204 is 402311331.
133113204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103437 + ... + 104715.
Almost surely, 2133113204 is an apocalyptic number.
133113204 is a gapful number since it is divisible by the number (14) 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 133113204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199180800).
133113204 is an abundant number, since it is smaller than the sum of its proper divisors (265248396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133113204 is a wasteful number, since it uses less digits than its factorization.
133113204 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1362 (or 1350 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 133113204 is about 11537.4695665904. The cubic root of 133113204 is about 510.5916547587.
Adding to 133113204 its reverse (402311331), we get a palindrome (535424535).
It can be divided in two parts, 1331 and 13204, that added together give a triangular number (14535 = T170).
The spelling of 133113204 in words is "one hundred thirty-three million, one hundred thirteen thousand, two hundred four".
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