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13212000018 = 233719296821
BaseRepresentation
bin11000100110111111…
…10001111100010010
31021002202201010211000
430103133301330102
5204024233000033
610023003002430
7645256101330
oct142337617422
937082633730
1013212000018
11566a914188
122688809416
13132729acb9
148d4992b50
15524d7ba13
hex3137f1f12

13212000018 has 96 divisors (see below), whose sum is σ = 35413614720. Its totient is φ = 3576143520.

The previous prime is 13212000017. The next prime is 13212000029. The reversal of 13212000018 is 81000021231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13212000017) 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 47 ways as a sum of consecutive naturals, for example, 88048 + ... + 184868.

It is an arithmetic number, because the mean of its divisors is an integer number (368891820).

Almost surely, 213212000018 is an apocalyptic number.

13212000018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13212000018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17706807360).

13212000018 is an abundant number, since it is smaller than the sum of its proper divisors (22201614702).

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

13212000018 is a wasteful number, since it uses less digits than its factorization.

13212000018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96877 (or 96852 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13212000018 its reverse (81000021231), we get a palindrome (94212021249).

The spelling of 13212000018 in words is "thirteen billion, two hundred twelve million, eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 361 378 399 513 722 798 1026 1083 1197 2166 2394 2527 3249 3591 5054 6498 7182 7581 9747 15162 19494 22743 45486 68229 96821 136458 193642 290463 580926 677747 871389 1355494 1742778 1839599 2033241 2614167 3679198 4066482 5228334 5518797 6099723 11037594 12199446 12877193 16556391 18299169 25754386 33112782 34952381 36598338 38631579 49669173 69904762 77263158 99338346 104857143 115894737 209714286 231789474 244666667 314571429 347684211 489333334 629142858 695368422 734000001 943714287 1468000002 1887428574 2202000003 4404000006 6606000009 13212000018