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11134122224106 = 2376718146147419
BaseRepresentation
bin1010001000000101110101…
…1001100110100111101010
31110102102010010021121100010
42202001131121212213222
52424410140242132411
635402540052152350
72226261633240630
oct242013531464752
943372103247303
1011134122224106
113602a55803022
1212b9a4b0086b6
13629c3534263b
142a6c742cd350
151449563877a6
hexa205d6669ea

11134122224106 has 128 divisors (see below), whose sum is σ = 26028854691840. Its totient is φ = 3109558636800.

The previous prime is 11134122224087. The next prime is 11134122224143. The reversal of 11134122224106 is 60142222143111.

It is a super-2 number, since 2×111341222241062 (a number of 27 digits) contains 22 as substring.

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, 234779265 + ... + 234826683.

It is an arithmetic number, because the mean of its divisors is an integer number (203350427280).

Almost surely, 211134122224106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11134122224106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13014427345920).

11134122224106 is an abundant number, since it is smaller than the sum of its proper divisors (14894732467734).

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

11134122224106 is a wasteful number, since it uses less digits than its factorization.

11134122224106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48140.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 11134122224106 its reverse (60142222143111), we get a palindrome (71276344367217).

The spelling of 11134122224106 in words is "eleven trillion, one hundred thirty-four billion, one hundred twenty-two million, two hundred twenty-four thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 42 67 134 181 201 362 402 461 469 543 922 938 1086 1267 1383 1407 2534 2766 2814 3227 3801 6454 7602 9681 12127 19362 24254 30887 36381 47419 61774 72762 83441 84889 92661 94838 142257 166882 169778 185322 216209 250323 254667 284514 331933 432418 500646 509334 584087 648627 663866 995799 1168174 1297254 1752261 1991598 3177073 3504522 5590547 6354146 8582839 9531219 11181094 16771641 17165678 19062438 21860159 22239511 25748517 33543282 39133829 43720318 44479022 51497034 60079873 65580477 66718533 78267658 117401487 120159746 131160954 133437066 153021113 180239619 234802974 306042226 360479238 459063339 575050213 918126678 1150100426 1464630653 1725150639 2929261306 3450301278 3956688779 4025351491 4393891959 7913377558 8050702982 8787783918 10252414571 11870066337 12076054473 20504829142 23740132674 24152108946 27696821453 30757243713 55393642906 61514487426 83090464359 166180928718 265098148193 530196296386 795294444579 1590588889158 1855687037351 3711374074702 5567061112053 11134122224106