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11120200112112 = 2437133768806307
BaseRepresentation
bin1010000111010001111110…
…0100111101011111110000
31110101002011212101001000120
42201310133210331133300
52424143132212041422
635352314401050240
72225256632241060
oct241643744753760
943332155331016
1011120200112112
1135a8061073243
1212b7204626980
13628826c04750
142a63132cd3a0
151443ddedc45c
hexa1d1f93d7f0

11120200112112 has 160 divisors (see below), whose sum is σ = 36312116209152. Its totient is φ = 2853535122432.

The previous prime is 11120200112111. The next prime is 11120200112113. The reversal of 11120200112112 is 21121100202111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11120200112111) and next prime (11120200112113).

It is a super-3 number, since 3×111202001121123 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11120200112091 and 11120200112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120200112111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34241538 + ... + 34564769.

Almost surely, 211120200112112 is an apocalyptic number.

11120200112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11120200112112 is an abundant number, since it is smaller than the sum of its proper divisors (25191916097040).

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

11120200112112 is a wasteful number, since it uses less digits than its factorization.

11120200112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68806375 (or 68806369 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11120200112112 its reverse (21121100202111), we get a palindrome (32241300314223).

The spelling of 11120200112112 in words is "eleven trillion, one hundred twenty billion, two hundred million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 37 39 42 48 52 56 74 78 84 91 104 111 112 148 156 168 182 208 222 259 273 296 312 336 364 444 481 518 546 592 624 728 777 888 962 1036 1092 1443 1456 1554 1776 1924 2072 2184 2886 3108 3367 3848 4144 4368 5772 6216 6734 7696 10101 11544 12432 13468 20202 23088 26936 40404 53872 80808 161616 68806307 137612614 206418921 275225228 412837842 481644149 550450456 825675684 894481991 963288298 1100900912 1444932447 1651351368 1788963982 1926576596 2545833359 2683445973 2889864894 3302702736 3577927964 3853153192 5091666718 5366891946 5779729788 6261373937 7155855928 7637500077 7706306384 10183333436 10733783892 11559459576 12522747874 14311711856 15275000154 17820833513 18784121811 20366666872 21467567784 23118919152 25045495748 30550000308 33095833667 35641667026 37568243622 40733333744 42935135568 50090991496 53462500539 61100000616 66191667334 71283334052 75136487244 99287501001 100181982992 106925001078 122200001232 132383334668 142566668104 150272974488 198575002002 213850002156 231670835669 264766669336 285133336208 300545948976 397150004004 427700004312 463341671338 529533338672 695012507007 794300008008 855400008624 926683342676 1390025014014 1588600016016 1853366685352 2780050028028 3706733370704 5560100056056 11120200112112