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12033102033 = 325348175237
BaseRepresentation
bin10110011010011101…
…01001000011010001
31011001121101220210200
423031032221003101
5144120433231113
65310011045413
7604122452061
oct131516510321
934047356720
1012033102033
115115410727
1223b9a40869
131199c84724
148221973a1
154a660d873
hex2cd3a90d1

12033102033 has 24 divisors (see below), whose sum is σ = 17716152168. Its totient is φ = 7867571712.

The previous prime is 12033102031. The next prime is 12033102049. The reversal of 12033102033 is 33020133021.

It can be written as a sum of positive squares in 4 ways, for example, as 2427729984 + 9605372049 = 49272^2 + 98007^2 .

It is not a de Polignac number, because 12033102033 - 21 = 12033102031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12033101997 and 12033102015.

It is not an unprimeable number, because it can be changed into a prime (12033102031) 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, 2295091 + ... + 2300327.

It is an arithmetic number, because the mean of its divisors is an integer number (738173007).

Almost surely, 212033102033 is an apocalyptic number.

It is an amenable number.

12033102033 is a deficient number, since it is larger than the sum of its proper divisors (5683050135).

12033102033 is a wasteful number, since it uses less digits than its factorization.

12033102033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12033102033 its reverse (33020133021), we get a palindrome (45053235054).

The spelling of 12033102033 in words is "twelve billion, thirty-three million, one hundred two thousand, thirty-three".

Divisors: 1 3 9 53 159 477 4817 5237 14451 15711 43353 47133 255301 277561 765903 832683 2297709 2498049 25226629 75679887 227039661 1337011337 4011034011 12033102033