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12322414134 = 23214913673361
BaseRepresentation
bin10110111100111100…
…10001111000110110
31011210202210111101200
423132132101320312
5200214014223014
65354424033330
7614234535432
oct133636217066
934722714350
1012322414134
115253755138
12247a902846
131214bac814
1484c7879c2
154c1c0aa09
hex2de791e36

12322414134 has 48 divisors (see below), whose sum is σ = 26905413600. Its totient is φ = 4075706880.

The previous prime is 12322414133. The next prime is 12322414163. The reversal of 12322414134 is 43141422321.

12322414134 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 241 + 413 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12322414098 and 12322414107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322414133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3664614 + ... + 3667974.

It is an arithmetic number, because the mean of its divisors is an integer number (560529450).

Almost surely, 212322414134 is an apocalyptic number.

12322414134 is an abundant number, since it is smaller than the sum of its proper divisors (14582999466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12322414134 is a wasteful number, since it uses less digits than its factorization.

12322414134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4885 (or 4882 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 12322414134 its reverse (43141422321), we get a palindrome (55463836455).

The spelling of 12322414134 in words is "twelve billion, three hundred twenty-two million, four hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 149 298 447 894 1341 1367 2682 2734 3361 4101 6722 8202 10083 12303 20166 24606 30249 60498 203683 407366 500789 611049 1001578 1222098 1502367 1833147 3004734 3666294 4507101 4594487 9014202 9188974 13783461 27566922 41350383 82700766 684578563 1369157126 2053735689 4107471378 6161207067 12322414134