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112000003110 = 2325113109710039
BaseRepresentation
bin110100001001110111…
…0000110110000100110
3101201002110202122212100
41220103232012300212
53313334000044420
6123241352432530
711043315214212
oct1502356066046
9351073678770
10112000003110
114355409a046
12198586a8746
13a73b9757b8
1455c6a7d942
152da79ab190
hex1a13b86c26

112000003110 has 96 divisors (see below), whose sum is σ = 294074089920. Its totient is φ = 29572429824.

The previous prime is 112000003097. The next prime is 112000003111. The reversal of 112000003110 is 11300000211.

112000003110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112000003092 and 112000003101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000003111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11151471 + ... + 11161509.

It is an arithmetic number, because the mean of its divisors is an integer number (3063271770).

Almost surely, 2112000003110 is an apocalyptic number.

112000003110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000003110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147037044960).

112000003110 is an abundant number, since it is smaller than the sum of its proper divisors (182074086810).

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

112000003110 is a wasteful number, since it uses less digits than its factorization.

112000003110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262 (or 11259 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 112000003110 its reverse (11300000211), we get a palindrome (123300003321).

The spelling of 112000003110 in words is "one hundred twelve billion, three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1097 1130 1695 2034 2194 3291 3390 5085 5485 6582 9873 10039 10170 10970 16455 19746 20078 30117 32910 49365 50195 60234 90351 98730 100390 123961 150585 180702 247922 301170 371883 451755 619805 743766 903510 1115649 1134407 1239610 1859415 2231298 2268814 3403221 3718830 5578245 5672035 6806442 10209663 11012783 11156490 11344070 17016105 20419326 22025566 33038349 34032210 51048315 55063915 66076698 99115047 102096630 110127830 165191745 198230094 330383490 495575235 991150470 1244444479 2488888958 3733333437 6222222395 7466666874 11200000311 12444444790 18666667185 22400000622 37333334370 56000001555 112000003110