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12033103221 = 321337011469
BaseRepresentation
bin10110011010011101…
…01001010101110101
31011001121101222102200
423031032221111311
5144120433300341
65310011055113
7604122455406
oct131516512565
934047358380
1012033103221
115115411607
1223b9a41499
131199c85129
148221979ad
154a660ddb6
hex2cd3a9575

12033103221 has 6 divisors (see below), whose sum is σ = 17381149110. Its totient is φ = 8022068808.

The previous prime is 12033103219. The next prime is 12033103241. The reversal of 12033103221 is 12230133021.

12033103221 is a `hidden beast` number, since 12 + 0 + 331 + 0 + 322 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11954142225 + 78960996 = 109335^2 + 8886^2 .

It is not a de Polignac number, because 12033103221 - 21 = 12033103219 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12033103194 and 12033103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033103211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 668505726 + ... + 668505743.

It is an arithmetic number, because the mean of its divisors is an integer number (2896858185).

Almost surely, 212033103221 is an apocalyptic number.

It is an amenable number.

12033103221 is a deficient number, since it is larger than the sum of its proper divisors (5348045889).

12033103221 is a wasteful number, since it uses less digits than its factorization.

12033103221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337011475 (or 1337011472 counting only the distinct ones).

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

Adding to 12033103221 its reverse (12230133021), we get a palindrome (24263236242).

The spelling of 12033103221 in words is "twelve billion, thirty-three million, one hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 1337011469 4011034407 12033103221