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11103123323100 = 22352591016961687
BaseRepresentation
bin1010000110010010010110…
…1110001011100011011100
31110022110002202101021101110
42201210211232023203130
52423403144032314400
635340412054142020
72224113514026144
oct241444556134334
943273082337343
1011103123323100
1135a0898726976
1212b3a39651910
13627035036673
142a5573341924
15143c3ebe7e50
hexa1925b8b8dc

11103123323100 has 144 divisors (see below), whose sum is σ = 32673271276800. Its totient is φ = 2910315870720.

The previous prime is 11103123323081. The next prime is 11103123323189. The reversal of 11103123323100 is 132332130111.

It is a happy number.

It is a super-2 number, since 2×111031233231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 179960457 + ... + 180022143.

It is an arithmetic number, because the mean of its divisors is an integer number (226897717200).

Almost surely, 211103123323100 is an apocalyptic number.

11103123323100 is a gapful number since it is divisible by the number (10) 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 11103123323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16336635638400).

11103123323100 is an abundant number, since it is smaller than the sum of its proper divisors (21570147953700).

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

11103123323100 is a wasteful number, since it uses less digits than its factorization.

11103123323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71932 (or 71925 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 11103123323100 its reverse (132332130111), we get a palindrome (11235455453211).

The spelling of 11103123323100 in words is "eleven trillion, one hundred three billion, one hundred twenty-three million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 5900 8850 10169 17700 20338 30507 40676 50845 61014 61687 101690 122028 123374 152535 185061 203380 246748 254225 305070 308435 370122 508450 599971 610140 616870 740244 762675 925305 1016900 1199942 1233740 1525350 1542175 1799913 1850610 2399884 2999855 3050700 3084350 3599826 3639533 3701220 4626525 5999710 6168700 7199652 7279066 8999565 9253050 10918599 11999420 14558132 14999275 17999130 18197665 18506100 21837198 29998550 35998260 36395330 43674396 44997825 54592995 59997100 72790660 89995650 90988325 109185990 179991300 181976650 218371980 272964975 363953300 545929950 627295103 1091859900 1254590206 1881885309 2509180412 3136475515 3763770618 6272951030 7527541236 9409426545 12545902060 15682377575 18818853090 31364755150 37010411077 37637706180 47047132725 62729510300 74020822154 94094265450 111031233231 148041644308 185052055385 188188530900 222062466462 370104110770 444124932924 555156166155 740208221540 925260276925 1110312332310 1850520553850 2220624664620 2775780830775 3701041107700 5551561661550 11103123323100