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133311033 = 32109135893
BaseRepresentation
bin1111111001000…
…10101000111001
3100021211220100200
413330202220321
5233111423113
621121152413
73206060622
oct774425071
9307756320
10133311033
1169283609
123878b709
132180788b
14139c2a49
15ba84873
hex7f22a39

133311033 has 12 divisors (see below), whose sum is σ = 194328420. Its totient is φ = 88058016.

The previous prime is 133311029. The next prime is 133311041. The reversal of 133311033 is 330113331.

It can be written as a sum of positive squares in 2 ways, for example, as 48818169 + 84492864 = 6987^2 + 9192^2 .

It is not a de Polignac number, because 133311033 - 22 = 133311029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133310997 and 133311015.

It is not an unprimeable number, because it can be changed into a prime (133311023) 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, 66966 + ... + 68927.

It is an arithmetic number, because the mean of its divisors is an integer number (16194035).

Almost surely, 2133311033 is an apocalyptic number.

It is an amenable number.

133311033 is a deficient number, since it is larger than the sum of its proper divisors (61017387).

133311033 is a wasteful number, since it uses less digits than its factorization.

133311033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136008 (or 136005 counting only the distinct ones).

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

The square root of 133311033 is about 11546.0397106540. The cubic root of 133311033 is about 510.8444717481.

Adding to 133311033 its reverse (330113331), we get a palindrome (463424364).

The spelling of 133311033 in words is "one hundred thirty-three million, three hundred eleven thousand, thirty-three".

Divisors: 1 3 9 109 327 981 135893 407679 1223037 14812337 44437011 133311033