Search a number
-
+
111112122000222 = 2337348461843559
BaseRepresentation
bin11001010000111001001110…
…100011111110001101011110
3112120102012210211021222001000
4121100321032203332031132
5104030430111213001342
61032152112033531130
732255404651532610
oct3120711643761536
9476365724258030
10111112122000222
1132449428200392
1210566334a13aa6
1349cca9c588715
141d61bd9302db0
15cca4344d244c
hex650e4e8fe35e

111112122000222 has 64 divisors (see below), whose sum is σ = 282190660531200. Its totient is φ = 31746191833440.

The previous prime is 111112122000221. The next prime is 111112122000263. The reversal of 111112122000222 is 222000221211111.

111112122000222 is a `hidden beast` number, since 111 + 112 + 1 + 220 + 0 + 0 + 222 = 666.

111112122000222 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 111112122000195 and 111112122000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111112122000221) 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, 131296479 + ... + 132140037.

It is an arithmetic number, because the mean of its divisors is an integer number (4409229070800).

Almost surely, 2111112122000222 is an apocalyptic number.

111112122000222 is an abundant number, since it is smaller than the sum of its proper divisors (171078538530978).

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

111112122000222 is a wasteful number, since it uses less digits than its factorization.

111112122000222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192038 (or 1192032 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111112122000222 its reverse (222000221211111), we get a palindrome (333112343211333).

The spelling of 111112122000222 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 348461 696922 843559 1045383 1687118 2090766 2439227 2530677 3136149 4878454 5061354 5904913 6272298 7317681 7592031 9408447 11809826 14635362 15184062 17714739 18816894 21953043 22776093 35429478 43906086 45552186 53144217 65859129 106288434 131718258 159432651 318865302 293947412699 587894825398 881842238097 1763684476194 2057631888893 2645526714291 4115263777786 5291053428582 6172895666679 7936580142873 12345791333358 15873160285746 18518687000037 37037374000074 55556061000111 111112122000222