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13201020320 = 255281293617
BaseRepresentation
bin11000100101101011…
…11001010110100000
31021002000001022111112
430102311321112200
5204013430122240
610021531402452
7645063551465
oct142265712640
937060038445
1013201020320
1156646a4a54
122684bb3428
131324c25537
148d333566c
15523e0d665
hex312d795a0

13201020320 has 48 divisors (see below), whose sum is σ = 31298504328. Its totient is φ = 5261598720.

The previous prime is 13201020307. The next prime is 13201020341. The reversal of 13201020320 is 2302010231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11587230736 + 1613789584 = 107644^2 + 40172^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13201020295 and 13201020304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101849 + ... + 191768.

Almost surely, 213201020320 is an apocalyptic number.

13201020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13201020320 is an abundant number, since it is smaller than the sum of its proper divisors (18097484008).

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

13201020320 is a wasteful number, since it uses less digits than its factorization.

13201020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293913 (or 293905 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13201020320 its reverse (2302010231), we get a palindrome (15503030551).

The spelling of 13201020320 in words is "thirteen billion, two hundred one million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 281 562 1124 1405 2248 2810 4496 5620 8992 11240 22480 44960 293617 587234 1174468 1468085 2348936 2936170 4697872 5872340 9395744 11744680 23489360 46978720 82506377 165012754 330025508 412531885 660051016 825063770 1320102032 1650127540 2640204064 3300255080 6600510160 13201020320