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13242310320 = 2435127434459
BaseRepresentation
bin11000101010100110…
…11001111010110000
31021011212202001201210
430111103121322300
5204110012412240
610030004400120
7646104531501
oct142523317260
937155661653
1013242310320
115685a36818
1226969a6040
1313306512a5
148d8a02ba8
15527867780
hex3154d9eb0

13242310320 has 80 divisors (see below), whose sum is σ = 41374494720. Its totient is φ = 3503469312.

The previous prime is 13242310309. The next prime is 13242310321. The reversal of 13242310320 is 2301324231.

13242310320 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 (80).

It is a super-2 number, since 2×132423103202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13242310321) 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 15 ways as a sum of consecutive naturals, for example, 186750 + ... + 247709.

It is an arithmetic number, because the mean of its divisors is an integer number (517181184).

Almost surely, 213242310320 is an apocalyptic number.

13242310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13242310320 is an abundant number, since it is smaller than the sum of its proper divisors (28132184400).

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

13242310320 is a wasteful number, since it uses less digits than its factorization.

13242310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434602 (or 434596 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13242310320 its reverse (2301324231), we get a palindrome (15543634551).

The spelling of 13242310320 in words is "thirteen billion, two hundred forty-two million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 15240 30480 434459 868918 1303377 1737836 2172295 2606754 3475672 4344590 5213508 6516885 6951344 8689180 10427016 13033770 17378360 20854032 26067540 34756720 52135080 55176293 104270160 110352586 165528879 220705172 275881465 331057758 441410344 551762930 662115516 827644395 882820688 1103525860 1324231032 1655288790 2207051720 2648462064 3310577580 4414103440 6621155160 13242310320