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133333300 = 225223291999
BaseRepresentation
bin1111111001010…
…00000100110100
3100021220000220101
413330220010310
5233113131200
621121443444
73206212552
oct774500464
9307800811
10133333300
1169299311
12387a0584
1321814a59
14139cabd2
15ba8b26a
hex7f28134

133333300 has 72 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 49230720.

The previous prime is 133333297. The next prime is 133333307. The reversal of 133333300 is 3333331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133333307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65701 + ... + 67699.

It is an arithmetic number, because the mean of its divisors is an integer number (4340000).

Almost surely, 2133333300 is an apocalyptic number.

133333300 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 133333300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

133333300 is an abundant number, since it is smaller than the sum of its proper divisors (179146700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133333300 is a wasteful number, since it uses less digits than its factorization.

133333300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 19.

The square root of 133333300 is about 11547.0039404168. The cubic root of 133333300 is about 510.8729123563.

Adding to 133333300 its reverse (3333331), we get a palindrome (136666631).

The spelling of 133333300 in words is "one hundred thirty-three million, three hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 50 58 92 100 115 116 145 230 290 460 575 580 667 725 1150 1334 1450 1999 2300 2668 2900 3335 3998 6670 7996 9995 13340 16675 19990 33350 39980 45977 49975 57971 66700 91954 99950 115942 183908 199900 229885 231884 289855 459770 579710 919540 1149425 1159420 1333333 1449275 2298850 2666666 2898550 4597700 5333332 5797100 6666665 13333330 26666660 33333325 66666650 133333300