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13211300000 = 2555132113
BaseRepresentation
bin11000100110111010…
…00111000010100000
31021002201101120120102
430103131013002200
5204024043100000
610022540001532
7645250124423
oct142335070240
937081346512
1013211300000
11566a486258
1226885302a8
1313270b44a2
148d484d9ba
15524c8e3d5
hex3137470a0

13211300000 has 72 divisors (see below), whose sum is σ = 32510348892. Its totient is φ = 5284480000.

The previous prime is 13211299999. The next prime is 13211300009. The reversal of 13211300000 is 311231.

It can be written as a sum of positive squares in 6 ways, for example, as 3282373264 + 9928926736 = 57292^2 + 99644^2 .

It is not an unprimeable number, because it can be changed into a prime (13211300009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33944 + ... + 166056.

Almost surely, 213211300000 is an apocalyptic number.

13211300000 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 13211300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16255174446).

13211300000 is an abundant number, since it is smaller than the sum of its proper divisors (19299048892).

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

13211300000 is an frugal number, since it uses more digits than its factorization.

13211300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132148 (or 132120 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13211300000 its reverse (311231), we get a palindrome (13211611231).

The spelling of 13211300000 in words is "thirteen billion, two hundred eleven million, three 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 132113 264226 528452 660565 1056904 1321130 2113808 2642260 3302825 4227616 5284520 6605650 10569040 13211300 16514125 21138080 26422600 33028250 52845200 66056500 82570625 105690400 132113000 165141250 264226000 330282500 412853125 528452000 660565000 825706250 1321130000 1651412500 2642260000 3302825000 6605650000 13211300000