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12180033 = 321817477
BaseRepresentation
bin101110011101…
…101001000001
3211220210212100
4232131221001
511104230113
61113021013
7205346205
oct56355101
924823770
1012180033
11696a048
1240b4769
1326a5c28
141890b05
151108d73
hexb9da41

12180033 has 12 divisors (see below), whose sum is σ = 17692948. Its totient is φ = 8074080.

The previous prime is 12180031. The next prime is 12180061. The reversal of 12180033 is 33008121.

12180033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5461569 + 6718464 = 2337^2 + 2592^2 .

It is not a de Polignac number, because 12180033 - 21 = 12180031 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 = 12179988 and 12180015.

It is not an unprimeable number, because it can be changed into a prime (12180031) 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, 2110 + ... + 5367.

Almost surely, 212180033 is an apocalyptic number.

It is an amenable number.

12180033 is a deficient number, since it is larger than the sum of its proper divisors (5512915).

12180033 is a wasteful number, since it uses less digits than its factorization.

12180033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7664 (or 7661 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12180033 is about 3489.9904011329. The cubic root of 12180033 is about 230.0820941980.

Adding to 12180033 its reverse (33008121), we get a palindrome (45188154).

The spelling of 12180033 in words is "twelve million, one hundred eighty thousand, thirty-three".

Divisors: 1 3 9 181 543 1629 7477 22431 67293 1353337 4060011 12180033