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13232120320 = 29510934729
BaseRepresentation
bin11000101001011001…
…00010001000000000
31021011011120100200101
430110230202020000
5204044410322240
610025002132144
7645622111156
oct142454421000
937134510611
1013232120320
115680206931
1226934b1054
13132b4c40c3
148d750d3d6
15526a0339a
hex314b22200

13232120320 has 80 divisors (see below), whose sum is σ = 31761817560. Its totient is φ = 5286887424.

The previous prime is 13232120309. The next prime is 13232120329. The reversal of 13232120320 is 2302123231.

It can be written as a sum of positive squares in 4 ways, for example, as 10706454784 + 2525665536 = 103472^2 + 50256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13232120329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2795716 + ... + 2800444.

Almost surely, 213232120320 is an apocalyptic number.

13232120320 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 13232120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15880908780).

13232120320 is an abundant number, since it is smaller than the sum of its proper divisors (18529697240).

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

13232120320 is an equidigital number, since it uses as much as digits as its factorization.

13232120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5845 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 13232120320 its reverse (2302123231), we get a palindrome (15534243551).

The spelling of 13232120320 in words is "thirteen billion, two hundred thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1093 1280 2186 2560 4372 4729 5465 8744 9458 10930 17488 18916 21860 23645 34976 37832 43720 47290 69952 75664 87440 94580 139904 151328 174880 189160 279808 302656 349760 378320 559616 605312 699520 756640 1210624 1399040 1513280 2421248 2798080 3026560 5168797 6053120 10337594 12106240 20675188 25843985 41350376 51687970 82700752 103375940 165401504 206751880 330803008 413503760 661606016 827007520 1323212032 1654015040 2646424064 3308030080 6616060160 13232120320