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133148331 = 3229634993
BaseRepresentation
bin1111110111110…
…10111010101011
3100021112122011200
413323322322223
5233041221311
621113455243
73204512361
oct773727253
9307478150
10133148331
1169182348
1238711523
132177b7c4
141397d631
15ba51556
hex7efaeab

133148331 has 12 divisors (see below), whose sum is σ = 192428808. Its totient is φ = 88717824.

The previous prime is 133148303. The next prime is 133148341. The reversal of 133148331 is 133841331.

133148331 is a `hidden beast` number, since 13 + 314 + 8 + 331 = 666.

It is not a de Polignac number, because 133148331 - 211 = 133146283 is a prime.

It is a super-2 number, since 2×1331483312 = 35456956096171122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133148295 and 133148304.

It is not an unprimeable number, because it can be changed into a prime (133148341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24171 + ... + 29163.

It is an arithmetic number, because the mean of its divisors is an integer number (16035734).

Almost surely, 2133148331 is an apocalyptic number.

133148331 is a deficient number, since it is larger than the sum of its proper divisors (59280477).

133148331 is a wasteful number, since it uses less digits than its factorization.

133148331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7962 (or 7959 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 133148331 is about 11538.9917670479. The cubic root of 133148331 is about 510.6365638413.

Adding to 133148331 its reverse (133841331), we get a palindrome (266989662).

The spelling of 133148331 in words is "one hundred thirty-three million, one hundred forty-eight thousand, three hundred thirty-one".

Divisors: 1 3 9 2963 4993 8889 14979 26667 44937 14794259 44382777 133148331