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13201255540 = 225111074491249
BaseRepresentation
bin11000100101101101…
…10010110001110100
31021002000111021011101
430102312302301310
5204014010134130
610021540415444
7645065551324
oct142266626164
937060437141
1013201255540
115664845750
1226850a7584
131324ca8615
148d3397284
15523e581ca
hex312db2c74

13201255540 has 96 divisors (see below), whose sum is σ = 30618000000. Its totient is φ = 4741201920.

The previous prime is 13201255451. The next prime is 13201255547. The reversal of 13201255540 is 4555210231.

13201255540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13201255499 and 13201255508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201255547) 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 31 ways as a sum of consecutive naturals, for example, 10568836 + ... + 10570084.

It is an arithmetic number, because the mean of its divisors is an integer number (318937500).

Almost surely, 213201255540 is an apocalyptic number.

13201255540 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 13201255540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15309000000).

13201255540 is an abundant number, since it is smaller than the sum of its proper divisors (17416744460).

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

13201255540 is a wasteful number, since it uses less digits than its factorization.

13201255540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 13201255540 its reverse (4555210231), we get a palindrome (17756465771).

The spelling of 13201255540 in words is "thirteen billion, two hundred one million, two hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 449 535 898 1070 1177 1249 1796 2140 2245 2354 2498 4490 4708 4939 4996 5885 6245 8980 9878 11770 12490 13739 19756 23540 24695 24980 27478 48043 49390 54956 68695 96086 98780 133643 137390 192172 240215 267286 274780 480430 528473 534572 560801 668215 960860 1056946 1121602 1336430 1470073 2113892 2243204 2642365 2672860 2804005 2940146 5284730 5608010 5880292 6168811 7350365 10569460 11216020 12337622 14700730 24675244 29401460 30844055 60005707 61688110 120011414 123376220 240022828 300028535 600057070 660062777 1200114140 1320125554 2640251108 3300313885 6600627770 13201255540