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2112440012001 = 341143536715527
BaseRepresentation
bin11110101111010111001…
…111001000110011100001
321110221120120120021120000
4132233113033020303201
5234102234120341001
64254235212410213
7305422142560104
oct36572717106341
97427516507500
102112440012001
11744976352040
122a14a3a76969
13124282419057
1474357b4a73b
1539e39401a86
hex1ebd73c8ce1

2112440012001 has 160 divisors (see below), whose sum is σ = 3642818116608. Its totient is φ = 1208509061760.

The previous prime is 2112440011987. The next prime is 2112440012017. The reversal of 2112440012001 is 1002100442112.

2112440012001 is a `hidden beast` number, since 21 + 1 + 2 + 440 + 0 + 1 + 200 + 1 = 666.

It is not a de Polignac number, because 2112440012001 - 29 = 2112440011489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2112440012021) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136041700 + ... + 136057226.

Almost surely, 22112440012001 is an apocalyptic number.

It is an amenable number.

2112440012001 is a deficient number, since it is larger than the sum of its proper divisors (1530378104607).

2112440012001 is a wasteful number, since it uses less digits than its factorization.

2112440012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15713 (or 15704 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2112440012001 its reverse (1002100442112), we get a palindrome (3114540454113).

The spelling of 2112440012001 in words is "two trillion, one hundred twelve billion, four hundred forty million, twelve thousand, one".

Divisors: 1 3 9 11 27 33 43 53 67 81 99 129 159 201 297 387 473 477 583 603 737 891 1161 1419 1431 1749 1809 2211 2279 2881 3483 3551 4257 4293 5247 5427 6633 6837 8643 10653 12771 15527 15741 19899 20511 25069 25929 31691 31959 38313 39061 46581 47223 59697 61533 75207 77787 95073 95877 117183 139743 152693 170797 184599 225621 233361 285219 287631 351549 419229 458079 512391 667661 676863 822931 855657 1040309 1054647 1257687 1374237 1537173 1679623 2002983 2030589 2468793 2566971 3120927 3163941 4122711 4611519 5038869 6008949 7344271 7406379 9052241 9362781 11443399 12368133 13834557 15116607 18026847 22032813 22219137 27156723 28088343 34330197 35386033 44733287 45349821 54080541 55136377 66098439 66657411 81470169 84265029 102990591 106158099 134199861 136049463 165409131 198295317 244410507 308971773 318474297 389246363 402599583 492066157 496227393 594885951 606500147 733231521 926915319 955422891 1167739089 1207798749 1476198471 1488682179 1819500441 2370864211 2866268673 3503217267 3623396247 4428595413 4466046537 5458501323 7112592633 10509651801 13285786239 16375503969 21337777899 26079506321 31528955403 39857358717 49126511907 64013333697 78238518963 192040001091 234715556889 704146670667 2112440012001