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11020110122120 = 23511541102145343
BaseRepresentation
bin1010000001011101000110…
…1111111100110010001000
31110000111211102101201201012
42200113101233330302020
52421023141142401440
635234322501143052
72215114413331061
oct240272157746210
943014742351635
1011020110122120
113569669963350
12129b9306baa88
1361c2658777b8
142a153a325568
151419d1e28e65
hexa05d1bfcc88

11020110122120 has 128 divisors (see below), whose sum is σ = 27126500244480. Its totient is φ = 3995899776000.

The previous prime is 11020110122093. The next prime is 11020110122149. The reversal of 11020110122120 is 2122101102011.

It is a junction number, because it is equal to n+sod(n) for n = 11020110122095 and 11020110122104.

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, 243016169 + ... + 243061511.

It is an arithmetic number, because the mean of its divisors is an integer number (211925783160).

Almost surely, 211020110122120 is an apocalyptic number.

11020110122120 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 11020110122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13563250122240).

11020110122120 is an abundant number, since it is smaller than the sum of its proper divisors (16106390122360).

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

11020110122120 is a wasteful number, since it uses less digits than its factorization.

11020110122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46927 (or 46923 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11020110122120 its reverse (2122101102011), we get a palindrome (13142211224131).

The spelling of 11020110122120 in words is "eleven trillion, twenty billion, one hundred ten million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 541 1021 1082 2042 2164 2705 4084 4328 5105 5410 5951 8168 10210 10820 11231 11902 20420 21640 22462 23804 29755 40840 44924 45343 47608 56155 59510 89848 90686 112310 119020 181372 224620 226715 238040 362744 449240 453430 498773 552361 906860 997546 1104722 1813720 1995092 2209444 2493865 2761805 3990184 4418888 4987730 5523610 6075971 9975460 11047220 12151942 19950920 22094440 24303884 24530563 30379855 46295203 48607768 49061126 60759710 92590406 98122252 121519420 122652815 185180812 196244504 231476015 243038840 245305630 269836193 370361624 462952030 490611260 509247233 539672386 925904060 981222520 1018494466 1079344772 1349180965 1851808120 2036988932 2158689544 2546236165 2698361930 4073977864 5092472330 5396723860 10184944660 10793447720 20369889320 25045704823 50091409646 100182819292 125228524115 200365638584 250457048230 275502753053 500914096460 551005506106 1001828192920 1102011012212 1377513765265 2204022024424 2755027530530 5510055061060 11020110122120