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133103300 = 225211235261
BaseRepresentation
bin1111110111011…
…11111011000100
3100021110100101212
413323233323010
5233033301200
621112510552
73204234161
oct773577304
9307410355
10133103300
1169151530
12386ab458
1321764165
141396b068
15ba43035
hex7eefec4

133103300 has 72 divisors (see below), whose sum is σ = 328853952. Its totient is φ = 46288000.

The previous prime is 133103297. The next prime is 133103317. The reversal of 133103300 is 3301331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22670 + ... + 27930.

It is an arithmetic number, because the mean of its divisors is an integer number (4567416).

Almost surely, 2133103300 is an apocalyptic number.

133103300 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 133103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164426976).

133103300 is an abundant number, since it is smaller than the sum of its proper divisors (195750652).

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

133103300 is a wasteful number, since it uses less digits than its factorization.

133103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 133103300 is about 11537.0403483736. The cubic root of 133103300 is about 510.5789912887.

Adding to 133103300 its reverse (3301331), we get a palindrome (136404631).

The spelling of 133103300 in words is "one hundred thirty-three million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 5261 6325 10522 12650 21044 25300 26305 52610 57871 105220 115742 121003 131525 231484 242006 263050 289355 484012 526100 578710 605015 1157420 1210030 1331033 1446775 2420060 2662066 2893550 3025075 5324132 5787100 6050150 6655165 12100300 13310330 26620660 33275825 66551650 133103300