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11020120111120 = 2453179274120521
BaseRepresentation
bin1010000001011101001001…
…0110000011100000010000
31110000111212010012020001011
42200113102112003200100
52421023201222023440
635234323455220304
72215114564253401
oct240272226034020
943014763166034
1011020120111120
11356967456621a
12129b933b17694
1361c267964353
142a153b7a59a8
151419d2c4d9ea
hexa05d2583810

11020120111120 has 160 divisors (see below), whose sum is σ = 26794153635840. Its totient is φ = 4210113024000.

The previous prime is 11020120111093. The next prime is 11020120111159. The reversal of 11020120111120 is 2111102102011.

It is a happy number.

It is a super-2 number, since 2×110201201111202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11020120111120.

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, 537006460 + ... + 537026980.

It is an arithmetic number, because the mean of its divisors is an integer number (167463460224).

Almost surely, 211020120111120 is an apocalyptic number.

11020120111120 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 11020120111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13397076817920).

11020120111120 is an abundant number, since it is smaller than the sum of its proper divisors (15774033524720).

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

11020120111120 is a wasteful number, since it uses less digits than its factorization.

11020120111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23385 (or 23379 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11020120111120 its reverse (2111102102011), we get a palindrome (13131222213131).

The spelling of 11020120111120 in words is "eleven trillion, twenty billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 79 80 124 155 158 248 310 316 395 496 620 632 790 1240 1264 1580 2449 2480 2741 3160 4898 5482 6320 9796 10964 12245 13705 19592 20521 21928 24490 27410 39184 41042 43856 48980 54820 82084 84971 97960 102605 109640 164168 169942 195920 205210 216539 219280 328336 339884 410420 424855 433078 636151 679768 820840 849710 866156 1082695 1272302 1359536 1621159 1641680 1699420 1732312 2165390 2544604 3180755 3242318 3398840 3464624 4330780 5089208 6361510 6484636 6712709 6797680 8105795 8661560 10178416 12723020 12969272 13425418 16211590 17323120 25446040 25938544 26850836 32423180 33563545 50255929 50892080 53701672 56248061 64846360 67127090 100511858 107403344 112496122 129692720 134254180 201023716 224992244 251279645 268508360 281240305 402047432 449984488 502559290 537016720 562480610 804094864 899968976 1005118580 1124961220 1743689891 2010237160 2249922440 3487379782 4020474320 4443596819 4499844880 6974759564 8718449455 8887193638 13949519128 17436898910 17774387276 22217984095 27899038256 34873797820 35548774552 44435968190 69747595640 71097549104 88871936380 137751501389 139495191280 177743872760 275503002778 355487745520 551006005556 688757506945 1102012011112 1377515013890 2204024022224 2755030027780 5510060055560 11020120111120