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133130300 = 22522921583
BaseRepresentation
bin1111110111101…
…10100000111100
3100021111201102212
413323312200330
5233040132200
621113235552
73204405662
oct773664074
9307451385
10133130300
116916a846
1238702bb8
1321773534
1413976c32
15ba4b035
hex7ef683c

133130300 has 54 divisors (see below), whose sum is σ = 299387088. Its totient is φ = 51383360.

The previous prime is 133130299. The next prime is 133130303. The reversal of 133130300 is 3031331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133130303) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 83309 + ... + 84891.

Almost surely, 2133130300 is an apocalyptic number.

133130300 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 133130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149693544).

133130300 is an abundant number, since it is smaller than the sum of its proper divisors (166256788).

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

133130300 is a wasteful number, since it uses less digits than its factorization.

133130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1619 counting only the distinct ones).

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

The square root of 133130300 is about 11538.2104331651. The cubic root of 133130300 is about 510.6135125985.

Adding to 133130300 its reverse (3031331), we get a palindrome (136161631).

It can be divided in two parts, 13 and 3130300, that added together give a palindrome (3130313).

The spelling of 133130300 in words is "one hundred thirty-three million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 841 1450 1583 1682 2900 3166 3364 4205 6332 7915 8410 15830 16820 21025 31660 39575 42050 45907 79150 84100 91814 158300 183628 229535 459070 918140 1147675 1331303 2295350 2662606 4590700 5325212 6656515 13313030 26626060 33282575 66565150 133130300