Search a number
-
+
133330131 = 3411151991
BaseRepresentation
bin1111111001001…
…11010011010011
3100021212212120000
413330213103103
5233113031011
621121421043
73206200404
oct774472323
9307785500
10133330131
11692969a0
123879a783
132181348c
14139c99ab
15ba8a356
hex7f274d3

133330131 has 40 divisors (see below), whose sum is σ = 218938368. Its totient is φ = 80190000.

The previous prime is 133330123. The next prime is 133330159. The reversal of 133330131 is 131033331.

133330131 is a `hidden beast` number, since 1 + 333 + 301 + 31 = 666.

It is not a de Polignac number, because 133330131 - 23 = 133330123 is a prime.

It is a super-2 number, since 2×1333301312 = 35553847664954322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133330331) 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 39 ways as a sum of consecutive naturals, for example, 134046 + ... + 135036.

Almost surely, 2133330131 is an apocalyptic number.

133330131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133330131 is a deficient number, since it is larger than the sum of its proper divisors (85608237).

133330131 is a wasteful number, since it uses less digits than its factorization.

133330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 133330131 is about 11546.8667178590. The cubic root of 133330131 is about 510.8688649326.

Adding to 133330131 its reverse (131033331), we get a palindrome (264363462).

The spelling of 133330131 in words is "one hundred thirty-three million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 151 297 453 891 991 1359 1661 2973 4077 4983 8919 10901 12231 14949 26757 32703 44847 80271 98109 134541 149641 294327 448923 882981 1346769 1646051 4040307 4938153 12120921 14814459 44443377 133330131