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12304234033 = 721324180149
BaseRepresentation
bin10110111010110001…
…11011011000110001
31011202111120211222121
423131120323120301
5200144340442113
65352534234241
7613624156300
oct133530733061
934674524877
1012304234033
115244468163
1224747b5981
1312111b5870
1484a1b4437
154c0318e8d
hex2dd63b631

12304234033 has 24 divisors (see below), whose sum is σ = 15478247400. Its totient is φ = 9694702080.

The previous prime is 12304234013. The next prime is 12304234067. The reversal of 12304234033 is 33043240321.

It can be written as a sum of positive squares in 4 ways, for example, as 4314913344 + 7989320689 = 65688^2 + 89383^2 .

It is not a de Polignac number, because 12304234033 - 217 = 12304102961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12304233989 and 12304234007.

It is not an unprimeable number, because it can be changed into a prime (12304234003) 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 23 ways as a sum of consecutive naturals, for example, 113443 + ... + 193591.

It is an arithmetic number, because the mean of its divisors is an integer number (644926975).

Almost surely, 212304234033 is an apocalyptic number.

12304234033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12304234033 is a deficient number, since it is larger than the sum of its proper divisors (3174013367).

12304234033 is a wasteful number, since it uses less digits than its factorization.

12304234033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80417 (or 80410 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 12304234033 its reverse (33043240321), we get a palindrome (45347474354).

The spelling of 12304234033 in words is "twelve billion, three hundred four million, two hundred thirty-four thousand, thirty-three".

Divisors: 1 7 13 49 91 241 637 1687 3133 11809 21931 80149 153517 561043 1041937 3927301 7293559 19315909 51054913 135211363 251106817 946479541 1757747719 12304234033