Search a number
-
+
112201210020012 = 223375911337903919
BaseRepresentation
bin11001100000101111100001…
…010001000100000010101100
3112201021022221020112200222120
4121200233201101010002230
5104201301034231120022
61034344305125512540
732430161403132021
oct3140574121040254
9481238836480876
10112201210020012
11328292a1a82113
121070141a272750
134a7b6b4746b69
141d9c7d348d548
15ce8926ecdd5c
hex660be14440ac

112201210020012 has 96 divisors (see below), whose sum is σ = 275855632819200. Its totient is φ = 35456234591232.

The previous prime is 112201210019947. The next prime is 112201210020019. The reversal of 112201210020012 is 210020012102211.

It is a super-3 number, since 3×1122012100200123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 112201210019973 and 112201210020000.

It is not an unprimeable number, because it can be changed into a prime (112201210020019) 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, 15991812 + ... + 21912107.

It is an arithmetic number, because the mean of its divisors is an integer number (2873496175200).

Almost surely, 2112201210020012 is an apocalyptic number.

112201210020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112201210020012 is an abundant number, since it is smaller than the sum of its proper divisors (163654422799188).

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

112201210020012 is a wasteful number, since it uses less digits than its factorization.

112201210020012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37904135 (or 37904133 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112201210020012 its reverse (210020012102211), we get a palindrome (322221222122223).

The spelling of 112201210020012 in words is "one hundred twelve trillion, two hundred one billion, two hundred ten million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 37 59 74 111 113 118 148 177 222 226 236 339 354 444 452 678 708 1356 2183 4181 4366 6549 6667 8362 8732 12543 13098 13334 16724 20001 25086 26196 26668 40002 50172 80004 246679 493358 740037 986716 1480074 2960148 37903919 75807838 113711757 151615676 227423514 454847028 1402445003 2236331221 2804890006 4207335009 4283142847 4472662442 5609780012 6708993663 8414670018 8566285694 8945324884 12849428541 13417987326 16829340036 17132571388 25698857082 26835974652 51397714164 82744255177 158476285339 165488510354 248232765531 252705427973 316952570678 330977020708 475428856017 496465531062 505410855946 633905141356 758116283919 950857712034 992931062124 1010821711892 1516232567838 1901715424068 3032465135676 9350100835001 18700201670002 28050302505003 37400403340004 56100605010006 112201210020012