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13211330000 = 245411120103
BaseRepresentation
bin11000100110111010…
…01110010111010000
31021002201110002201112
430103131032113100
5204024100030000
610022540352452
7645250311041
oct142335162720
937081402645
1013211330000
11566a4a6850
122688545728
1313270c503b
148d485a8c8
15524c98235
hex31374e5d0

13211330000 has 100 divisors (see below), whose sum is σ = 34894055328. Its totient is φ = 4804080000.

The previous prime is 13211329961. The next prime is 13211330009. The reversal of 13211330000 is 3311231.

13211330000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211330009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49949 + ... + 170051.

Almost surely, 213211330000 is an apocalyptic number.

13211330000 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 13211330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447027664).

13211330000 is an abundant number, since it is smaller than the sum of its proper divisors (21682725328).

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

13211330000 is a wasteful number, since it uses less digits than its factorization.

13211330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120142 (or 120121 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13211330000 its reverse (3311231), we get a palindrome (13214641231).

The spelling of 13211330000 in words is "thirteen billion, two hundred eleven million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 120103 240206 480412 600515 960824 1201030 1321133 1921648 2402060 2642266 3002575 4804120 5284532 6005150 6605665 9608240 10569064 12010300 13211330 15012875 21138128 24020600 26422660 30025750 33028325 48041200 52845320 60051500 66056650 75064375 105690640 120103000 132113300 150128750 165141625 240206000 264226600 300257500 330283250 528453200 600515000 660566500 825708125 1201030000 1321133000 1651416250 2642266000 3302832500 6605665000 13211330000