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331133033 = 72111633769
BaseRepresentation
bin10011101111001…
…011000001101001
3212002002022010102
4103233023001221
51134232224113
652505155145
711130404300
oct2357130151
9762068112
10331133033
1115aa09170
1292a8bab5
13537ab70a
1431d99437
151e10d758
hex13bcb069

331133033 has 24 divisors (see below), whose sum is σ = 422903520. Its totient is φ = 256374720.

The previous prime is 331133027. The next prime is 331133051. The reversal of 331133033 is 330331133.

It is not a de Polignac number, because 331133033 - 212 = 331128937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 331132996 and 331133014.

It is not an unprimeable number, because it can be changed into a prime (331133063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85973 + ... + 89741.

It is an arithmetic number, because the mean of its divisors is an integer number (17620980).

Almost surely, 2331133033 is an apocalyptic number.

It is an amenable number.

331133033 is a deficient number, since it is larger than the sum of its proper divisors (91770487).

331133033 is a wasteful number, since it uses less digits than its factorization.

331133033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3957 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 20.

The square root of 331133033 is about 18197.0611088714. The cubic root of 331133033 is about 691.8323021584.

Adding to 331133033 its reverse (330331133), we get a palindrome (661464166).

The spelling of 331133033 in words is "three hundred thirty-one million, one hundred thirty-three thousand, thirty-three".

Divisors: 1 7 11 49 77 163 539 1141 1793 3769 7987 12551 26383 41459 87857 184681 290213 614347 2031491 4300429 6757817 30103003 47304719 331133033