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11320321032324 = 22323183346335291
BaseRepresentation
bin1010010010111011011110…
…1101101100000010000100
31111002012201122012002212100
42210232313231230002010
52440433004141013244
640024252250552100
72245603052061123
oct244566755540204
944065648162770
1011320321032324
113674a151145a7
121329b54738630
1364166a2b0635
142b1c99489aba
15149702d99b69
hexa4bb7b6c084

11320321032324 has 144 divisors (see below), whose sum is σ = 29903691976704. Its totient is φ = 3606575889600.

The previous prime is 11320321032301. The next prime is 11320321032331. The reversal of 11320321032324 is 42323012302311.

11320321032324 is a `hidden beast` number, since 1 + 1 + 320 + 3 + 2 + 10 + 3 + 2 + 324 = 666.

It is a super-2 number, since 2×113203210323242 (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 47 ways as a sum of consecutive naturals, for example, 320753119 + ... + 320788409.

It is an arithmetic number, because the mean of its divisors is an integer number (207664527616).

Almost surely, 211320321032324 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 11320321032324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951845988352).

11320321032324 is an abundant number, since it is smaller than the sum of its proper divisors (18583370944380).

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

11320321032324 is a wasteful number, since it uses less digits than its factorization.

11320321032324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38878 (or 38873 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11320321032324 its reverse (42323012302311), we get a palindrome (53643333334635).

The spelling of 11320321032324 in words is "eleven trillion, three hundred twenty billion, three hundred twenty-one million, thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 83 93 124 166 186 249 279 332 372 498 558 747 996 1116 1494 2573 2988 3463 5146 6926 7719 10292 10389 13852 15438 20778 23157 30876 31167 35291 41556 46314 62334 70582 92628 105873 107353 124668 141164 211746 214706 287429 317619 322059 423492 429412 574858 635238 644118 862287 966177 1094021 1149716 1270476 1288236 1724574 1932354 2188042 2586861 2929153 3282063 3449148 3864708 4376084 5173722 5858306 6564126 8787459 8910299 9846189 10347444 11716612 13128252 17574918 17820598 19692378 26362377 26730897 35149836 35641196 39384756 52724754 53461794 80192691 90803743 105449508 106923588 122212733 160385382 181607486 244425466 272411229 320770764 363214972 366638199 488850932 544822458 733276398 817233687 1089644916 1099914597 1466552796 1634467374 2199829194 3268934748 3788594723 4399658388 7577189446 10143656839 11365784169 15154378892 20287313678 22731568338 30430970517 34097352507 40574627356 45463136676 60861941034 68194705014 91292911551 121723882068 136389410028 182585823102 314453362009 365171646204 628906724018 943360086027 1257813448036 1886720172054 2830080258081 3773440344108 5660160516162 11320321032324