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21110311321044 = 22311227943374687
BaseRepresentation
bin1001100110011001000001…
…00110110111110111010100
32202202010101220002122200220
410303030200212313313110
510231332404144233134
6112521535415034340
74306112123361621
oct463144046676724
982663356078626
1021110311321044
1167a991843a160
12244b3a066b9b0
13ba190340c1ba
1452da5cd67348
152691dabdd149
hex1333209b7dd4

21110311321044 has 96 divisors (see below), whose sum is σ = 53978501799936. Its totient is φ = 6368122702080.

The previous prime is 21110311321027. The next prime is 21110311321093. The reversal of 21110311321044 is 44012311301112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282613069 + ... + 282687755.

It is an arithmetic number, because the mean of its divisors is an integer number (562276060416).

Almost surely, 221110311321044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110311321044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989250899968).

21110311321044 is an abundant number, since it is smaller than the sum of its proper divisors (32868190478892).

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

21110311321044 is a wasteful number, since it uses less digits than its factorization.

21110311321044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84365 (or 84363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 21110311321044 its reverse (44012311301112), we get a palindrome (65122622622156).

The spelling of 21110311321044 in words is "twenty-one trillion, one hundred ten billion, three hundred eleven million, three hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 4994 7491 9433 9988 14982 18866 28299 29964 37732 56598 74687 103763 113196 149374 207526 224061 298748 311289 415052 448122 622578 821557 896244 1245156 1643114 2141291 2464671 3286228 4282582 4929342 6423873 8565164 9858684 12847746 16953949 23554201 25695492 33907898 47108402 50861847 67815796 70662603 94216804 101723694 141325206 186493439 203447388 282650412 372986878 559480317 704522471 745973756 1118960634 1409044942 2113567413 2237921268 2818089884 4227134826 7749747181 8454269652 15499494362 23249241543 30998988724 46498483086 92996966172 159926600917 319853201834 479779802751 639706403668 959559605502 1759192610087 1919119211004 3518385220174 5277577830261 7036770440348 10555155660522 21110311321044