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133020333 = 3310148779
BaseRepresentation
bin1111110110110…
…11101010101101
3100021022010121000
413323123222231
5233023122313
621111030513
73203440245
oct773335255
9307263530
10133020333
11690a5166
123866b439
1321735474
1413948b25
15ba28673
hex7edbaad

133020333 has 16 divisors (see below), whose sum is σ = 199022400. Its totient is φ = 87800400.

The previous prime is 133020331. The next prime is 133020341. The reversal of 133020333 is 333020331.

133020333 is a `hidden beast` number, since 1 + 330 + 2 + 0 + 333 = 666.

It is not a de Polignac number, because 133020333 - 21 = 133020331 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21663 + ... + 27116.

It is an arithmetic number, because the mean of its divisors is an integer number (12438900).

Almost surely, 2133020333 is an apocalyptic number.

It is an amenable number.

133020333 is a deficient number, since it is larger than the sum of its proper divisors (66002067).

133020333 is a wasteful number, since it uses less digits than its factorization.

133020333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48889 (or 48883 counting only the distinct ones).

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

The square root of 133020333 is about 11533.4441083312. Note that the first 3 decimals coincide. The cubic root of 133020333 is about 510.4728831961.

Adding to 133020333 its reverse (333020331), we get a palindrome (466040664).

The spelling of 133020333 in words is "one hundred thirty-three million, twenty thousand, three hundred thirty-three".

Divisors: 1 3 9 27 101 303 909 2727 48779 146337 439011 1317033 4926679 14780037 44340111 133020333