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13200211232 = 251367347149
BaseRepresentation
bin11000100101100101…
…10011110100100000
31021001221112012122022
430102302303310200
5204013223224412
610021502201012
7645053641565
oct142262636440
937057465568
1013200211232
1156641a208a
122684883168
131324a011a0
148d31a486c
15523ceda72
hex312cb3d20

13200211232 has 48 divisors (see below), whose sum is σ = 28029166200. Its totient is φ = 6083223552.

The previous prime is 13200211223. The next prime is 13200211237. The reversal of 13200211232 is 23211200231.

It can be written as a sum of positive squares in 4 ways, for example, as 3312693136 + 9887518096 = 57556^2 + 99436^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13200211232.

It is not an unprimeable number, because it can be changed into a prime (13200211237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256394 + ... + 303542.

Almost surely, 213200211232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014583100).

13200211232 is an abundant number, since it is smaller than the sum of its proper divisors (14828954968).

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

13200211232 is a wasteful number, since it uses less digits than its factorization.

13200211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47845 (or 47837 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13200211232 its reverse (23211200231), we get a palindrome (36411411463).

The spelling of 13200211232 in words is "thirteen billion, two hundred million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 673 1346 2692 5384 8749 10768 17498 21536 34996 47149 69992 94298 139984 188596 279968 377192 612937 754384 1225874 1508768 2451748 4903496 9806992 19613984 31731277 63462554 126925108 253850216 412506601 507700432 825013202 1015400864 1650026404 3300052808 6600105616 13200211232