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133290333 = 331133709
BaseRepresentation
bin1111111000111…
…01100101011101
3100021210211222000
413330131211131
5233110242313
621120512513
73205643361
oct774354535
9307724860
10133290333
116926a000
123877b739
13217cb327
14139b92a1
15ba7d673
hex7f1d95d

133290333 has 32 divisors (see below), whose sum is σ = 217257600. Its totient is φ = 80760240.

The previous prime is 133290277. The next prime is 133290337. The reversal of 133290333 is 333092331.

133290333 is a `hidden beast` number, since 1 + 3 + 329 + 0 + 333 = 666.

It is not a de Polignac number, because 133290333 - 214 = 133273949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 133290297 and 133290306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133290337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34083 + ... + 37791.

It is an arithmetic number, because the mean of its divisors is an integer number (6789300).

Almost surely, 2133290333 is an apocalyptic number.

It is an amenable number.

133290333 is a deficient number, since it is larger than the sum of its proper divisors (83967267).

133290333 is an equidigital number, since it uses as much as digits as its factorization.

133290333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

The square root of 133290333 is about 11545.1432645940. The cubic root of 133290333 is about 510.8180297557.

The spelling of 133290333 in words is "one hundred thirty-three million, two hundred ninety thousand, three hundred thirty-three".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 1331 3267 3709 3993 11127 11979 33381 35937 40799 100143 122397 367191 448789 1101573 1346367 4039101 4936679 12117303 14810037 44430111 133290333