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133113204 = 223272591279
BaseRepresentation
bin1111110111100…
…10010101110100
3100021110211222200
413323302111310
5233034110304
621113024500
73204305100
oct773622564
9307424880
10133113204
1169158a14
12386b5130
1321768813
1413970900
15ba45e39
hex7ef2574

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".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 59 63 84 98 118 126 147 177 196 236 252 294 354 413 441 531 588 708 826 882 1062 1239 1279 1652 1764 2124 2478 2558 2891 3717 3837 4956 5116 5782 7434 7674 8673 8953 11511 11564 14868 15348 17346 17906 23022 26019 26859 34692 35812 46044 52038 53718 62671 75461 80577 104076 107436 125342 150922 161154 188013 226383 250684 301844 322308 376026 452766 528227 564039 679149 752052 905532 1056454 1128078 1358298 1584681 2112908 2256156 2716596 3169362 3697589 4754043 6338724 7395178 9508086 11092767 14790356 19016172 22185534 33278301 44371068 66556602 133113204