Search a number
-
+
2011100112 = 243271995139
BaseRepresentation
bin111011111011110…
…1111001111010000
312012011020110201100
41313313233033100
513104320200422
6531320504400
7100560032430
oct16767571720
95164213640
102011100112
1194223930a
1248161b100
13260862888
141511482c0
15bb8567ac
hex77def3d0

2011100112 has 60 divisors (see below), whose sum is σ = 6432331360. Its totient is φ = 574599744.

The previous prime is 2011100093. The next prime is 2011100167. The reversal of 2011100112 is 2110011102.

It is a happy number.

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 = 2011100094 and 2011100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 996562 + ... + 998577.

Almost surely, 22011100112 is an apocalyptic number.

It is an amenable number.

2011100112 is an abundant number, since it is smaller than the sum of its proper divisors (4421231248).

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

2011100112 is a wasteful number, since it uses less digits than its factorization.

2011100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995160 (or 1995151 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2011100112 is about 44845.2908564545. The cubic root of 2011100112 is about 1262.2476284359.

Adding to 2011100112 its reverse (2110011102), we get a palindrome (4121111214).

The spelling of 2011100112 in words is "two billion, eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1995139 3990278 5985417 7980556 11970834 13965973 15961112 17956251 23941668 27931946 31922224 35912502 41897919 47883336 55863892 71825004 83795838 95766672 111727784 125693757 143650008 167591676 223455568 251387514 287300016 335183352 502775028 670366704 1005550056 2011100112