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11103044214330 = 234540943976343
BaseRepresentation
bin1010000110010010000100…
…0000011001111000111010
31110022102220020112010120000
42201210201000121320322
52423403013304324310
635340400150413430
72224111533434265
oct241444100317072
943272806463500
1011103044214330
1135a0858004322
1212b3a17061276
13627021828b43
142a5566a2bcdc
15143c37cbd4c0
hexa1921019e3a

11103044214330 has 160 divisors (see below), whose sum is σ = 29996412652800. Its totient is φ = 2946806085888.

The previous prime is 11103044214323. The next prime is 11103044214341. The reversal of 11103044214330 is 3341244030111.

11103044214330 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 304 + 4 + 21 + 4 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11103044214294 and 11103044214303.

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 79 ways as a sum of consecutive naturals, for example, 145398139 + ... + 145474481.

It is an arithmetic number, because the mean of its divisors is an integer number (187477579080).

Almost surely, 211103044214330 is an apocalyptic number.

11103044214330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11103044214330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14998206326400).

11103044214330 is an abundant number, since it is smaller than the sum of its proper divisors (18893368438470).

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

11103044214330 is a wasteful number, since it uses less digits than its factorization.

11103044214330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77210 (or 77201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11103044214330 its reverse (3341244030111), we get a palindrome (14444288244441).

The spelling of 11103044214330 in words is "eleven trillion, one hundred three billion, forty-four million, two hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 409 439 810 818 878 1227 1317 2045 2195 2454 2634 3681 3951 4090 4390 6135 6585 7362 7902 11043 11853 12270 13170 18405 19755 22086 23706 33129 35559 36810 39510 55215 59265 66258 71118 76343 110430 118530 152686 165645 177795 179551 229029 331290 355590 359102 381715 458058 538653 687087 763430 897755 1077306 1145145 1374174 1615959 1795510 2061261 2290290 2693265 3231918 3435435 4122522 4847877 5386530 6183783 6870870 8079795 9695754 10306305 12367566 14543631 16159590 20612610 24239385 29087262 30918915 31224287 33514577 48478770 61837830 62448574 67029154 72718155 93672861 100543731 145436310 156121435 167572885 187345722 201087462 281018583 301631193 312242870 335145770 468364305 502718655 562037166 603262386 843055749 904893579 936728610 1005437310 1405092915 1508155965 1686111498 1809787158 2529167247 2714680737 2810185830 3016311930 4215278745 4524467895 5058334494 5429361474 8430557490 9048935790 12645836235 13573403685 13707461993 25291672470 27146807370 27414923986 41122385979 68537309965 82244771958 123367157937 137074619930 205611929895 246734315874 370101473811 411223859790 616835789685 740202947622 1110304421433 1233671579370 1850507369055 2220608842866 3701014738110 5551522107165 11103044214330