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13003443012 = 22372163211643
BaseRepresentation
bin11000001110001000…
…01100101101000100
31020120020021100101110
430013010030231010
5203112340134022
65550152525020
7640144304400
oct140704145504
936506240343
1013003443012
11557311721a
12262a9b0770
1312c3008ba1
148b4dc4100
155118d200c
hex30710cb44

13003443012 has 144 divisors (see below), whose sum is σ = 35735384832. Its totient is φ = 3669261120.

The previous prime is 13003442983. The next prime is 13003443031. The reversal of 13003443012 is 21034430031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13003443012.

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 47 ways as a sum of consecutive naturals, for example, 20222763 + ... + 20223405.

Almost surely, 213003443012 is an apocalyptic number.

13003443012 is a gapful number since it is divisible by the number (12) 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 13003443012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17867692416).

13003443012 is an abundant number, since it is smaller than the sum of its proper divisors (22731941820).

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

13003443012 is a wasteful number, since it uses less digits than its factorization.

13003443012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1029 counting only the distinct ones).

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

Adding to 13003443012 its reverse (21034430031), we get a palindrome (34037873043).

The spelling of 13003443012 in words is "thirteen billion, three million, four hundred forty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 163 196 211 294 326 422 489 588 633 643 652 844 978 1141 1266 1286 1477 1929 1956 2282 2532 2572 2954 3423 3858 4431 4501 4564 5908 6846 7716 7987 8862 9002 10339 13503 13692 15974 17724 18004 20678 23961 27006 31017 31507 31948 34393 41356 47922 54012 62034 63014 68786 94521 95844 103179 104809 124068 126028 135673 137572 189042 206358 209618 240751 271346 314427 378084 407019 412716 419236 481502 542692 628854 722253 733663 814038 949711 963004 1257708 1444506 1467326 1628076 1685257 1899422 2200989 2849133 2889012 2934652 3370514 3798844 4401978 5055771 5135641 5698266 6647977 6741028 8803956 10111542 10271282 11396532 13295954 15406923 19943931 20223084 20542564 22114699 26591908 30813846 39887862 44229398 61627692 66344097 79775724 88458796 132688194 154802893 265376388 309605786 464408679 619211572 928817358 1083620251 1857634716 2167240502 3250860753 4334481004 6501721506 13003443012