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13200100000 = 2555132001
BaseRepresentation
bin11000100101100100…
…11000101010100000
31021001221022120001121
430102302120222200
5204013211200000
610021455542024
7645052666363
oct142262305240
937057276047
1013200100000
11566412655a
12268482a914
131324992679
148d31760da
15523ccab1a
hex312c98aa0

13200100000 has 72 divisors (see below), whose sum is σ = 32482788156. Its totient is φ = 5280000000.

The previous prime is 13200099989. The next prime is 13200100013. The reversal of 13200100000 is 100231.

It can be written as a sum of positive squares in 6 ways, for example, as 124634896 + 13075465104 = 11164^2 + 114348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34000 + ... + 166000.

Almost surely, 213200100000 is an apocalyptic number.

13200100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16241394078).

13200100000 is an abundant number, since it is smaller than the sum of its proper divisors (19282688156).

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

13200100000 is an frugal number, since it uses more digits than its factorization.

13200100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132036 (or 132008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 13200100000 its reverse (100231), we get a palindrome (13200200231).

The spelling of 13200100000 in words is "thirteen billion, two hundred million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 132001 264002 528004 660005 1056008 1320010 2112016 2640020 3300025 4224032 5280040 6600050 10560080 13200100 16500125 21120160 26400200 33000250 52800400 66000500 82500625 105600800 132001000 165001250 264002000 330002500 412503125 528004000 660005000 825006250 1320010000 1650012500 2640020000 3300025000 6600050000 13200100000