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13311232320 = 263518176607
BaseRepresentation
bin11000110010110100…
…10100100101000000
31021100200102122221110
430121122110211000
5204230133413240
610040505523320
7650602415331
oct143132244500
937320378843
1013311232320
115710930951
1226b5aa3540
131341a03239
14903c24288
1552d92dc80
hex319694940

13311232320 has 112 divisors (see below), whose sum is σ = 42497215488. Its totient is φ = 3530004480.

The previous prime is 13311232213. The next prime is 13311232351. The reversal of 13311232320 is 2323211331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135457 + ... + 212063.

It is an arithmetic number, because the mean of its divisors is an integer number (379439424).

Almost surely, 213311232320 is an apocalyptic number.

13311232320 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 13311232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21248607744).

13311232320 is an abundant number, since it is smaller than the sum of its proper divisors (29185983168).

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

13311232320 is a wasteful number, since it uses less digits than its factorization.

13311232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76808 (or 76798 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13311232320 its reverse (2323211331), we get a palindrome (15634443651).

The spelling of 13311232320 in words is "thirteen billion, three hundred eleven million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 181 192 240 320 362 480 543 724 905 960 1086 1448 1810 2172 2715 2896 3620 4344 5430 5792 7240 8688 10860 11584 14480 17376 21720 28960 34752 43440 57920 76607 86880 153214 173760 229821 306428 383035 459642 612856 766070 919284 1149105 1225712 1532140 1838568 2298210 2451424 3064280 3677136 4596420 4902848 6128560 7354272 9192840 12257120 13865867 14708544 18385680 24514240 27731734 36771360 41597601 55463468 69329335 73542720 83195202 110926936 138658670 166390404 207988005 221853872 277317340 332780808 415976010 443707744 554634680 665561616 831952020 887415488 1109269360 1331123232 1663904040 2218538720 2662246464 3327808080 4437077440 6655616160 13311232320