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11112011210120 = 235312333186783
BaseRepresentation
bin1010000110110011011101…
…1110110001110110001000
31110100022001011111201022012
42201230313132301312020
52424024344332210440
635344442032315052
72224546665565202
oct241546736616610
943308034451265
1011112011210120
1135a4639702a47
1212b56ba0a2a88
13627b204c1902
142a5b778d1772
151440b012ae65
hexa1b377b1d88

11112011210120 has 96 divisors (see below), whose sum is σ = 25842612418560. Its totient is φ = 4300082812800.

The previous prime is 11112011209973. The next prime is 11112011210123. The reversal of 11112011210120 is 2101211021111.

It is a junction number, because it is equal to n+sod(n) for n = 11112011210095 and 11112011210104.

It is not an unprimeable number, because it can be changed into a prime (11112011210123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128000249 + ... + 128087031.

It is an arithmetic number, because the mean of its divisors is an integer number (269193879360).

Almost surely, 211112011210120 is an apocalyptic number.

11112011210120 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 11112011210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12921306209280).

11112011210120 is an abundant number, since it is smaller than the sum of its proper divisors (14730601208440).

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

11112011210120 is a wasteful number, since it uses less digits than its factorization.

11112011210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90187 (or 90152 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11112011210120 its reverse (2101211021111), we get a palindrome (13213222231231).

The spelling of 11112011210120 in words is "eleven trillion, one hundred twelve billion, eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 961 1240 1922 3331 3844 4805 6662 7688 9610 13324 16655 19220 26648 33310 38440 66620 86783 103261 133240 173566 206522 347132 413044 433915 516305 694264 826088 867830 1032610 1735660 2065220 2690273 3201091 3471320 4130440 5380546 6402182 10761092 12804364 13451365 16005455 21522184 25608728 26902730 32010910 53805460 64021820 83398463 107610920 128043640 166796926 289074173 333593852 416992315 578148346 667187704 833984630 1156296692 1445370865 1667969260 2312593384 2890741730 3335938520 5781483460 8961299363 11562966920 17922598726 35845197452 44806496815 71690394904 89612993630 179225987260 277800280253 358451974520 555600560506 1111201121012 1389001401265 2222402242024 2778002802530 5556005605060 11112011210120