Search a number
-
+
111022011012 = 223112633198007
BaseRepresentation
bin110011101100101101…
…1010111001010000100
3101121120022111111220210
41213121123113022010
53304333113323022
6123000334555420
711010141344253
oct1473133271204
9347508444823
10111022011012
11430a2038110
1219625068b70
13a614172953
145532c2079a
152d4bbc5a0c
hex19d96d7284

111022011012 has 48 divisors (see below), whose sum is σ = 283676101632. Its totient is φ = 33515102880.

The previous prime is 111022010989. The next prime is 111022011013. The reversal of 111022011012 is 210110220111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (111022011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564288 + ... + 1633719.

It is an arithmetic number, because the mean of its divisors is an integer number (5909918784).

Almost surely, 2111022011012 is an apocalyptic number.

111022011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111022011012 is an abundant number, since it is smaller than the sum of its proper divisors (172654090620).

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

111022011012 is a wasteful number, since it uses less digits than its factorization.

111022011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198288 (or 3198286 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 111022011012 its reverse (210110220111), we get a palindrome (321132231123).

The spelling of 111022011012 in words is "one hundred eleven billion, twenty-two million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 263 526 789 1052 1578 2893 3156 5786 8679 11572 17358 34716 3198007 6396014 9594021 12792028 19188042 35178077 38376084 70356154 105534231 140712308 211068462 422136924 841075841 1682151682 2523227523 3364303364 5046455046 9251834251 10092910092 18503668502 27755502753 37007337004 55511005506 111022011012