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12234346065 = 3251119724281
BaseRepresentation
bin10110110010011100…
…10100111001010001
31011120122002011201100
423121032110321101
5200023443033230
65342000255013
7612115140264
oct133116247121
934518064640
1012234346065
115208a73307
122455311469
1311cc886036
14840bc0cdb
154b9111660
hex2d9394e51

12234346065 has 24 divisors (see below), whose sum is σ = 21208967208. Its totient is φ = 6524133120.

The previous prime is 12234346057. The next prime is 12234346067. The reversal of 12234346065 is 56064343221.

12234346065 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 43 + 4 + 606 + 5 = 666.

12234346065 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 4 ways, for example, as 2496801024 + 9737545041 = 49968^2 + 98679^2 .

It is not a de Polignac number, because 12234346065 - 23 = 12234346057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12234346067) 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 23 ways as a sum of consecutive naturals, for example, 491725 + ... + 516005.

It is an arithmetic number, because the mean of its divisors is an integer number (883706967).

Almost surely, 212234346065 is an apocalyptic number.

12234346065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12234346065 is a deficient number, since it is larger than the sum of its proper divisors (8974621143).

12234346065 is a wasteful number, since it uses less digits than its factorization.

12234346065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35489 (or 35486 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12234346065 its reverse (56064343221), we get a palindrome (68298689286).

The spelling of 12234346065 in words is "twelve billion, two hundred thirty-four million, three hundred forty-six thousand, sixty-five".

Divisors: 1 3 5 9 15 45 11197 24281 33591 55985 72843 100773 121405 167955 218529 364215 503865 1092645 271874357 815623071 1359371785 2446869213 4078115355 12234346065