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12132343233 = 321779296361
BaseRepresentation
bin10110100110010010…
…01101110111000001
31011022112010220010200
423103021031313001
5144321334440413
65323514115413
7606436134033
oct132311156701
934275126120
1012132343233
11516643404a
12242711bb69
1311b46c0a2a
1483142bc53
154b01b3573
hex2d324ddc1

12132343233 has 12 divisors (see below), whose sum is σ = 18555348708. Its totient is φ = 7612450560.

The previous prime is 12132343219. The next prime is 12132343243. The reversal of 12132343233 is 33234323121.

12132343233 is a `hidden beast` number, since 12 + 1 + 323 + 4 + 323 + 3 = 666.

12132343233 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 10187268624 + 1945074609 = 100932^2 + 44103^2 .

It is not a de Polignac number, because 12132343233 - 212 = 12132339137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12132343197 and 12132343206.

It is not an unprimeable number, because it can be changed into a prime (12132343213) 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 11 ways as a sum of consecutive naturals, for example, 39648028 + ... + 39648333.

It is an arithmetic number, because the mean of its divisors is an integer number (1546279059).

Almost surely, 212132343233 is an apocalyptic number.

It is an amenable number.

12132343233 is a deficient number, since it is larger than the sum of its proper divisors (6423005475).

12132343233 is a wasteful number, since it uses less digits than its factorization.

12132343233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79296384 (or 79296381 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 12132343233 its reverse (33234323121), we get a palindrome (45366666354).

The spelling of 12132343233 in words is "twelve billion, one hundred thirty-two million, three hundred forty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 17 51 153 79296361 237889083 713667249 1348038137 4044114411 12132343233