Search a number
-
+
1121101330224 = 243173747790051
BaseRepresentation
bin10000010100000110110…
…110001011011100110000
310222011202110221102000210
4100110012312023130300
5121332003420031344
62215005444144120
7143665636034511
oct20240666133460
93864673842023
101121101330224
113a2502523787
1216133a698040
13819476ab1a5
143c393b56a08
151e268266db9
hex10506d8b730

1121101330224 has 160 divisors (see below), whose sum is σ = 3216434420736. Its totient is φ = 334930636800.

The previous prime is 1121101330171. The next prime is 1121101330273. The reversal of 1121101330224 is 4220331011211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121101330224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023999 + ... + 1814049.

Almost surely, 21121101330224 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 1121101330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608217210368).

1121101330224 is an abundant number, since it is smaller than the sum of its proper divisors (2095333090512).

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

1121101330224 is a wasteful number, since it uses less digits than its factorization.

1121101330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790163 (or 790157 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1121101330224 its reverse (4220331011211), we get a palindrome (5341432341435).

The spelling of 1121101330224 in words is "one trillion, one hundred twenty-one billion, one hundred one million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 47 48 51 68 74 94 102 111 136 141 148 188 204 222 272 282 296 376 408 444 564 592 629 752 799 816 888 1128 1258 1598 1739 1776 1887 2256 2397 2516 3196 3478 3774 4794 5032 5217 6392 6956 7548 9588 10064 10434 12784 13912 15096 19176 20868 27824 29563 30192 38352 41736 59126 83472 88689 118252 177378 236504 354756 473008 709512 790051 1419024 1580102 2370153 3160204 4740306 6320408 9480612 12640816 13430867 18961224 26861734 29231887 37132397 37922448 40292601 53723468 58463774 74264794 80585202 87695661 107446936 111397191 116927548 148529588 161170404 175391322 214893872 222794382 233855096 297059176 322340808 350782644 445588764 467710192 496942079 594118352 631250749 644681616 701565288 891177528 993884158 1262501498 1373898689 1403130576 1490826237 1782355056 1893752247 1987768316 2525002996 2747797378 2981652474 3787504494 3975536632 4121696067 5050005992 5495594756 5963304948 7575008988 7951073264 8243392134 10100011984 10991189512 11926609896 15150017976 16486784268 21982379024 23356277713 23853219792 30300035952 32973568536 46712555426 65947137072 70068833139 93425110852 140137666278 186850221704 280275332556 373700443408 560550665112 1121101330224