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10003004442 = 23417191491283
BaseRepresentation
bin10010101000011100…
…11011110000011010
3221211010102021110000
421110032123300122
5130441232120232
64332331033430
7502612064154
oct112416336032
927733367400
1010003004442
114273487322
121b31b9b876
13c354ccb52
146ac705ad4
153d82a327c
hex25439bc1a

10003004442 has 160 divisors (see below), whose sum is σ = 25168968000. Its totient is φ = 2950774272.

The previous prime is 10003004413. The next prime is 10003004443. The reversal of 10003004442 is 24440030001.

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

It is not an unprimeable number, because it can be changed into a prime (10003004443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7795933 + ... + 7797215.

It is an arithmetic number, because the mean of its divisors is an integer number (157306050).

Almost surely, 210003004442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10003004442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584484000).

10003004442 is an abundant number, since it is smaller than the sum of its proper divisors (15165963558).

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

10003004442 is a wasteful number, since it uses less digits than its factorization.

10003004442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10003004442 its reverse (24440030001), we get a palindrome (34443034443).

The spelling of 10003004442 in words is "ten billion, three million, four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 149 153 162 171 298 306 323 342 447 459 513 646 894 918 969 1026 1283 1341 1377 1539 1938 2533 2566 2682 2754 2831 2907 3078 3849 4023 5066 5662 5814 7599 7698 8046 8493 8721 11547 12069 15198 16986 17442 21811 22797 23094 24138 24377 25479 26163 34641 43622 45594 48127 48754 50958 52326 65433 68391 69282 73131 76437 96254 103923 130866 136782 144381 146262 152874 191167 196299 205173 207846 219393 229311 288762 382334 392598 410346 414409 433143 438786 458622 573501 588897 658179 828818 866286 1147002 1177794 1243227 1299429 1316358 1720503 1766691 1974537 2486454 2598858 3249839 3441006 3533382 3632173 3729681 3898287 3949074 5161509 6499678 7264346 7459362 7796574 9749517 10323018 10896519 11189043 15484527 19499034 21793038 22378086 29248551 30969054 32689557 33567129 58497102 61746941 65379114 67134258 87745653 98068671 123493882 175491306 185240823 196137342 263236959 294206013 370481646 526473918 555722469 588412026 1111444938 1667167407 3334334814 5001502221 10003004442