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13204213242 = 231117292631543
BaseRepresentation
bin11000100110000100…
…00100110111111010
31021002020001112100220
430103002010313322
5204020234310432
610022124040510
7645132650343
oct142302046772
937066045326
1013204213242
115666485930
122686093136
1313257a293c
148d39270ca
1552433e72c
hex313084dfa

13204213242 has 128 divisors (see below), whose sum is σ = 31696220160. Its totient is φ = 3619875840.

The previous prime is 13204213193. The next prime is 13204213249. The reversal of 13204213242 is 24231240231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13204213249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8556723 + ... + 8558265.

It is an arithmetic number, because the mean of its divisors is an integer number (247626720).

Almost surely, 213204213242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204213242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15848110080).

13204213242 is an abundant number, since it is smaller than the sum of its proper divisors (18492006918).

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

13204213242 is a wasteful number, since it uses less digits than its factorization.

13204213242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13204213242 its reverse (24231240231), we get a palindrome (37435453473).

The spelling of 13204213242 in words is "thirteen billion, two hundred four million, two hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 17 22 29 33 34 51 58 66 87 102 174 187 263 319 374 493 526 561 638 789 957 986 1122 1479 1543 1578 1914 2893 2958 3086 4471 4629 5423 5786 7627 8679 8942 9258 10846 13413 15254 16269 16973 17358 22881 26231 26826 32538 33946 44747 45762 49181 50919 52462 78693 83897 89494 98362 101838 129659 134241 147543 157386 167794 251691 259318 268482 288541 295086 388977 405809 492217 503382 577082 760699 777954 811618 865623 984434 1217427 1426249 1476651 1521398 1731246 2282097 2434854 2852498 2953302 4278747 4463899 4564194 6898753 8367689 8557494 8927798 11768461 13391697 13797506 16735378 20696259 23536922 25103067 26783394 35305383 41392518 50206134 70610766 75886283 129453071 151772566 200063837 227658849 258906142 388359213 400127674 455317698 600191511 776718426 1200383022 2200702207 4401404414 6602106621 13204213242