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11112111120 = 2435114639091
BaseRepresentation
bin10100101100101010…
…10101110000010000
31001200102101201210010
422112111111300100
5140224200023440
65034351034520
7542240246265
oct122625256020
931612351703
1011112111120
114792551610
1221a150ba40
13108121b8a6
14775b3526c
15450837580
hex296555c10

11112111120 has 160 divisors (see below), whose sum is σ = 37664446464. Its totient is φ = 2687731200.

The previous prime is 11112111091. The next prime is 11112111133. The reversal of 11112111120 is 2111121111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11112111096 and 11112111105.

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, 1217775 + ... + 1226865.

Almost surely, 211112111120 is an apocalyptic number.

11112111120 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 11112111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18832223232).

11112111120 is an abundant number, since it is smaller than the sum of its proper divisors (26552335344).

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

11112111120 is a wasteful number, since it uses less digits than its factorization.

11112111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9581 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11112111120 its reverse (2111121111), we get a palindrome (13223232231).

Subtracting from 11112111120 its reverse (2111121111), we obtain a palindrome (9000990009).

The spelling of 11112111120 in words is "eleven billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 463 528 660 880 926 1320 1389 1852 2315 2640 2778 3704 4630 5093 5556 6945 7408 9091 9260 10186 11112 13890 15279 18182 18520 20372 22224 25465 27273 27780 30558 36364 37040 40744 45455 50930 54546 55560 61116 72728 76395 81488 90910 100001 101860 109092 111120 122232 136365 145456 152790 181820 200002 203720 218184 244464 272730 300003 305580 363640 400004 407440 436368 500005 545460 600006 611160 727280 800008 1000010 1090920 1200012 1222320 1500015 1600016 2000020 2181840 2400024 3000030 4000040 4209133 4800048 6000060 8000080 8418266 12000120 12627399 16836532 21045665 24000240 25254798 33673064 42091330 46300463 50509596 63136995 67346128 84182660 92600926 101019192 126273990 138901389 168365320 185201852 202038384 231502315 252547980 277802778 336730640 370403704 463004630 505095960 555605556 694506945 740807408 926009260 1010191920 1111211112 1389013890 1852018520 2222422224 2778027780 3704037040 5556055560 11112111120