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133203300 = 223521923369
BaseRepresentation
bin1111111000010…
…00010101100100
3100021122102120120
413330020111210
5233100001200
621115001540
73205131546
oct774102544
9307572516
10133203300
116920a67a
12387392b0
132179a829
1413995696
15ba629a0
hex7f08564

133203300 has 72 divisors (see below), whose sum is σ = 405703200. Its totient is φ = 33649920.

The previous prime is 133203271. The next prime is 133203307. The reversal of 133203300 is 3302331.

133203300 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133203300.

It is not an unprimeable number, because it can be changed into a prime (133203307) 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, 5985 + ... + 17384.

Almost surely, 2133203300 is an apocalyptic number.

133203300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133203300 is an abundant number, since it is smaller than the sum of its proper divisors (272499900).

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

133203300 is a wasteful number, since it uses less digits than its factorization.

133203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23405 (or 23398 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 133203300 is about 11541.3734018097. The cubic root of 133203300 is about 510.7068246280.

Adding to 133203300 its reverse (3302331), we get a palindrome (136505631).

The spelling of 133203300 in words is "one hundred thirty-three million, two hundred three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 23369 46738 70107 93476 116845 140214 233690 280428 350535 444011 467380 584225 701070 888022 1168450 1332033 1402140 1752675 1776044 2220055 2336900 2664066 3505350 4440110 5328132 6660165 7010700 8880220 11100275 13320330 22200550 26640660 33300825 44401100 66601650 133203300