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12033232011 = 3247711013967
BaseRepresentation
bin10110011010011110…
…01000110010001011
31011001121122112002200
423031033020302023
5144121001411021
65310013531243
7604123533033
oct131517106213
934047575080
1012033232011
11511549a349
1223b9aa3b23
131199ccb938
148221cc8c3
154a6637126
hex2cd3c8c8b

12033232011 has 48 divisors (see below), whose sum is σ = 18183979008. Its totient is φ = 7662312000.

The previous prime is 12033231997. The next prime is 12033232021. The reversal of 12033232011 is 11023233021.

12033232011 is a `hidden beast` number, since 1 + 2 + 0 + 332 + 320 + 11 = 666.

12033232011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12033232011 - 210 = 12033230987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12033232021) 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 47 ways as a sum of consecutive naturals, for example, 3031350 + ... + 3035316.

It is an arithmetic number, because the mean of its divisors is an integer number (378832896).

Almost surely, 212033232011 is an apocalyptic number.

12033232011 is a deficient number, since it is larger than the sum of its proper divisors (6150746997).

12033232011 is a wasteful number, since it uses less digits than its factorization.

12033232011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12033232011 its reverse (11023233021), we get a palindrome (23056465032).

The spelling of 12033232011 in words is "twelve billion, thirty-three million, two hundred thirty-two thousand, eleven".

Divisors: 1 3 9 47 71 101 141 213 303 423 639 909 3337 3967 4747 7171 10011 11901 14241 21513 30033 35703 42723 64539 186449 281657 337037 400667 559347 844971 1011111 1202001 1678041 2534913 3033333 3606003 13237879 18831349 28447357 39713637 56494047 85342071 119140911 169482141 256026213 1337025779 4011077337 12033232011