Search a number
-
+
11321220113224 = 2372983229336629
BaseRepresentation
bin1010010010111110110101…
…0011011010001101001000
31111002022001021222010222221
42210233231103122031020
52440441324322110344
640024521405223424
72245634250121210
oct244575523321510
944068037863887
1011321220113224
11367533667936a
12132a165861b74
13641781644878
142b1d42a47240
15149756c94184
hexa4bed4da348

11321220113224 has 128 divisors (see below), whose sum is σ = 25410436128000. Its totient is φ = 4626056623104.

The previous prime is 11321220113213. The next prime is 11321220113237. The reversal of 11321220113224 is 42231102212311.

11321220113224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309059742 + ... + 309096370.

It is an arithmetic number, because the mean of its divisors is an integer number (198519032250).

Almost surely, 211321220113224 is an apocalyptic number.

11321220113224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321220113224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705218064000).

11321220113224 is an abundant number, since it is smaller than the sum of its proper divisors (14089216014776).

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

11321220113224 is a wasteful number, since it uses less digits than its factorization.

11321220113224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39047 (or 39043 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 11321220113224 its reverse (42231102212311), we get a palindrome (53552322325535).

The spelling of 11321220113224 in words is "eleven trillion, three hundred twenty-one billion, two hundred twenty million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 83 116 166 203 232 332 406 581 664 812 1162 1624 2293 2324 2407 4586 4648 4814 9172 9628 16051 16849 18344 19256 32102 33698 36629 64204 66497 67396 73258 128408 132994 134792 146516 190319 256403 265988 293032 380638 465479 512806 531976 761276 930958 1025612 1062241 1332233 1522552 1861916 2051224 2124482 2664466 3040207 3723832 4248964 5328932 5519251 6080414 7435687 8497928 10657864 11038502 12160828 14871374 21281449 22077004 24321656 29742748 38634757 42562898 44154008 59485496 77269514 83990297 85125796 88166003 154539028 167980594 170251592 176332006 309078056 335961188 352664012 587932079 617162021 671922376 705328024 1175864158 1234324042 2351728316 2435718613 2468648084 4703456632 4871437226 4937296168 6971194651 9742874452 13942389302 17050030291 19485748904 27884778604 34100060582 48798362557 55769557208 68200121164 97596725114 136400242328 195193450228 202164644879 390386900456 404329289758 808658579516 1415152514153 1617317159032 2830305028306 5660610056612 11321220113224