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13003231120 = 245113294211
BaseRepresentation
bin11000001110000110…
…11000111110010000
31020120012212120201121
430013003120332100
5203112311343440
65550144212024
7640142432545
oct140703307620
936505776647
1013003231120
115572a92000
12262a90a014
1312c2c635c9
148b4d6abcc
1551188e34a
hex3070d8f90

13003231120 has 160 divisors (see below), whose sum is σ = 34408333440. Its totient is φ = 4564313600.

The previous prime is 13003231117. The next prime is 13003231141. The reversal of 13003231120 is 2113230031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13003231094 and 13003231103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3085815 + ... + 3090025.

It is an arithmetic number, because the mean of its divisors is an integer number (215052084).

Almost surely, 213003231120 is an apocalyptic number.

13003231120 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 13003231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204166720).

13003231120 is an abundant number, since it is smaller than the sum of its proper divisors (21405102320).

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

13003231120 is a wasteful number, since it uses less digits than its factorization.

13003231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13003231120 its reverse (2113230031), we get a palindrome (15116461151).

The spelling of 13003231120 in words is "thirteen billion, three million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 121 145 176 220 232 242 290 319 440 464 484 580 605 638 880 968 1160 1210 1276 1331 1595 1936 2320 2420 2552 2662 3190 3509 4211 4840 5104 5324 6380 6655 7018 8422 9680 10648 12760 13310 14036 16844 17545 21055 21296 25520 26620 28072 33688 35090 38599 42110 46321 53240 56144 67376 70180 77198 84220 92642 106480 122119 140360 154396 168440 185284 192995 231605 244238 280720 308792 336880 370568 385990 463210 488476 509531 610595 617584 741136 771980 926420 976952 1019062 1221190 1343309 1543960 1852840 1953904 2038124 2442380 2547655 2686618 3087920 3705680 4076248 4884760 5095310 5373236 5604841 6716545 8152496 9769520 10190620 10746472 11209682 13433090 14776399 20381240 21492944 22419364 26866180 28024205 29552798 40762480 44838728 53732360 56048410 59105596 73881995 89677456 107464720 112096820 118211192 147763990 162540389 224193640 236422384 295527980 325080778 448387280 591055960 650161556 812701945 1182111920 1300323112 1625403890 2600646224 3250807780 6501615560 13003231120