Search a number
-
+
12033223029 = 34148558309
BaseRepresentation
bin10110011010011110…
…00110100101110101
31011001121122001210000
423031033012211311
5144121001114104
65310013421513
7604123464612
oct131517064565
934047561700
1012033223029
115115493623
1223b9a9a899
131199cc7819
148221c9509
154a6634639
hex2cd3c6975

12033223029 has 10 divisors (see below), whose sum is σ = 17975555510. Its totient is φ = 8022148632.

The previous prime is 12033223021. The next prime is 12033223049. The reversal of 12033223029 is 92032233021.

12033223029 is a `hidden beast` number, since 1 + 20 + 332 + 2 + 302 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9535522500 + 2497700529 = 97650^2 + 49977^2 .

It is not a de Polignac number, because 12033223029 - 23 = 12033223021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12033222993 and 12033223011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033223021) 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 9 ways as a sum of consecutive naturals, for example, 74279074 + ... + 74279235.

It is an arithmetic number, because the mean of its divisors is an integer number (1797555551).

Almost surely, 212033223029 is an apocalyptic number.

It is an amenable number.

12033223029 is a deficient number, since it is larger than the sum of its proper divisors (5942332481).

12033223029 is an equidigital number, since it uses as much as digits as its factorization.

12033223029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148558321 (or 148558312 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 12033223029 in words is "twelve billion, thirty-three million, two hundred twenty-three thousand, twenty-nine".

Divisors: 1 3 9 27 81 148558309 445674927 1337024781 4011074343 12033223029