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133033233 = 3415320407
BaseRepresentation
bin1111110110111…
…10110100010001
3100021022210021210
413323132310101
5233024030413
621111210333
73203522664
oct773366421
9307283253
10133033233
1169103923
12386769a9
132173b2b8
141394d6db
15ba2c3c3
hex7eded11

133033233 has 16 divisors (see below), whose sum is σ = 185141376. Its totient is φ = 84888960.

The previous prime is 133033217. The next prime is 133033247. The reversal of 133033233 is 332330331.

It is not a de Polignac number, because 133033233 - 24 = 133033217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133033213) 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 15 ways as a sum of consecutive naturals, for example, 3685 + ... + 16722.

It is an arithmetic number, because the mean of its divisors is an integer number (11571336).

Almost surely, 2133033233 is an apocalyptic number.

It is an amenable number.

133033233 is a deficient number, since it is larger than the sum of its proper divisors (52108143).

133033233 is a wasteful number, since it uses less digits than its factorization.

133033233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20504.

The product of its (nonzero) digits is 1458, while the sum is 21.

The square root of 133033233 is about 11534.0033379569. The cubic root of 133033233 is about 510.4893841505.

Adding to 133033233 its reverse (332330331), we get a palindrome (465363564).

The spelling of 133033233 in words is "one hundred thirty-three million, thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 41 53 123 159 2173 6519 20407 61221 836687 1081571 2510061 3244713 44344411 133033233