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13231003320 = 2334514927407
BaseRepresentation
bin11000101001010000…
…10001011010111000
31021011002110121110000
430110220101122320
5204044114101240
610024522153000
7645606446463
oct142450213270
937132417400
1013231003320
11567a613697
122693052760
13132b1c2862
148d72dc2da
15526882430
hex314a116b8

13231003320 has 160 divisors (see below), whose sum is σ = 44770968000. Its totient is φ = 3504460032.

The previous prime is 13231003319. The next prime is 13231003337. The reversal of 13231003320 is 2330013231.

13231003320 is a `hidden beast` number, since 1 + 32 + 310 + 0 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13231003293 and 13231003302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 469057 + ... + 496463.

It is an arithmetic number, because the mean of its divisors is an integer number (279818550).

Almost surely, 213231003320 is an apocalyptic number.

13231003320 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 13231003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385484000).

13231003320 is an abundant number, since it is smaller than the sum of its proper divisors (31539964680).

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

13231003320 is a wasteful number, since it uses less digits than its factorization.

13231003320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27579 (or 27566 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13231003320 its reverse (2330013231), we get a palindrome (15561016551).

The spelling of 13231003320 in words is "thirteen billion, two hundred thirty-one million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 149 162 180 216 270 298 324 360 405 447 540 596 648 745 810 894 1080 1192 1341 1490 1620 1788 2235 2682 2980 3240 3576 4023 4470 5364 5960 6705 8046 8940 10728 12069 13410 16092 17880 20115 24138 26820 27407 32184 40230 48276 53640 54814 60345 80460 82221 96552 109628 120690 137035 160920 164442 219256 241380 246663 274070 328884 411105 482760 493326 548140 657768 739989 822210 986652 1096280 1233315 1479978 1644420 1973304 2219967 2466630 2959956 3288840 3699945 4083643 4439934 4933260 5919912 7399890 8167286 8879868 9866520 11099835 12250929 14799780 16334572 17759736 20418215 22199670 24501858 29599560 32669144 36752787 40836430 44399340 49003716 61254645 73505574 81672860 88798680 98007432 110258361 122509290 147011148 163345720 183763935 220516722 245018580 294022296 330775083 367527870 441033444 490037160 551291805 661550166 735055740 882066888 1102583610 1323100332 1470111480 1653875415 2205167220 2646200664 3307750830 4410334440 6615501660 13231003320