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133330302 = 232710110477
BaseRepresentation
bin1111111001001…
…11010101111110
3100021212212210100
413330213111332
5233113032202
621121421530
73206201040
oct774472576
9307785710
10133330302
1169297036
123879a8a6
1321813591
14139c9a90
15ba8a41c
hex7f2757e

133330302 has 48 divisors (see below), whose sum is σ = 333451872. Its totient is φ = 37713600.

The previous prime is 133330297. The next prime is 133330331. The reversal of 133330302 is 203033331.

133330302 is a `hidden beast` number, since 1 + 33 + 330 + 302 = 666.

133330302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1333303022 = 35553938862822408, which contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7488 + ... + 17964.

It is an arithmetic number, because the mean of its divisors is an integer number (6946914).

Almost surely, 2133330302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133330302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166725936).

133330302 is an abundant number, since it is smaller than the sum of its proper divisors (200121570).

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

133330302 is a wasteful number, since it uses less digits than its factorization.

133330302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10593 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 133330302 is about 11546.8741224628. The cubic root of 133330302 is about 510.8690833342.

Adding to 133330302 its reverse (203033331), we get a palindrome (336363633).

The spelling of 133330302 in words is "one hundred thirty-three million, three hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 10477 12726 20954 31431 62862 73339 94293 146678 188586 220017 440034 660051 1058177 1320102 2116354 3174531 6349062 7407239 9523593 14814478 19047186 22221717 44443434 66665151 133330302