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2144110111122 = 2372979139160309
BaseRepresentation
bin11111001100110110111…
…010111110100110010010
321120222022201110000020010
4133030312322332212102
5240112114142023442
64320553544455350
7310623022144440
oct37146672764622
97528281400203
102144110111122
11757348296281
122a766217a556
1312725b7bb885
1475abdcd5b90
153ab8e974b9c
hex1f336ebe992

2144110111122 has 128 divisors (see below), whose sum is σ = 5170959360000. Its totient is φ = 579786584832.

The previous prime is 2144110111049. The next prime is 2144110111139. The reversal of 2144110111122 is 2211110114412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13294704 + ... + 13455012.

It is an arithmetic number, because the mean of its divisors is an integer number (40398120000).

Almost surely, 22144110111122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144110111122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585479680000).

2144110111122 is an abundant number, since it is smaller than the sum of its proper divisors (3026849248878).

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

2144110111122 is a wasteful number, since it uses less digits than its factorization.

2144110111122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160568.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 2144110111122 its reverse (2211110114412), we get a palindrome (4355220225534).

The spelling of 2144110111122 in words is "two trillion, one hundred forty-four billion, one hundred ten million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 79 87 139 158 174 203 237 278 406 417 474 553 609 834 973 1106 1218 1659 1946 2291 2919 3318 4031 4582 5838 6873 8062 10981 12093 13746 16037 21962 24186 28217 32074 32943 48111 56434 65886 76867 84651 96222 153734 160309 169302 230601 318449 320618 461202 480927 636898 955347 961854 1122163 1910694 2229143 2244326 3366489 4458286 4648961 6687429 6732978 9297922 12664411 13374858 13946883 22282951 25328822 27893766 32542727 37993233 44565902 65085454 66848853 75986466 88650877 97628181 133697706 155980657 177301754 195256362 265952631 311961314 367267919 467941971 531905262 646205579 734535838 935883942 1101803757 1292411158 1760353129 1938616737 2203607514 2570875433 3520706258 3877233474 4523439053 5141750866 5281059387 7712626299 9046878106 10562118774 12322471903 13570317159 15425252598 24644943806 27140634318 36967415709 51050240741 73934831418 102100481482 153150722223 306301444446 357351685187 714703370374 1072055055561 2144110111122