Search a number
-
+
121220100111 = 311192101100747
BaseRepresentation
bin111000011100101000…
…1111111000000001111
3102120220001000010012110
41300321101333000033
53441224321200421
6131404315235103
711520642564405
oct1607121770017
9376801003173
10121220100111
114745564a420
121b5b0448a93
13b57abc86b6
145c1d3c9475
153247161a76
hex1c3947f00f

121220100111 has 48 divisors (see below), whose sum is σ = 187932901248. Its totient is φ = 68910264000.

The previous prime is 121220100109. The next prime is 121220100163. The reversal of 121220100111 is 111001022121.

It is not a de Polignac number, because 121220100111 - 21 = 121220100109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121220100181) 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 47 ways as a sum of consecutive naturals, for example, 1152840 + ... + 1253586.

It is an arithmetic number, because the mean of its divisors is an integer number (3915268776).

Almost surely, 2121220100111 is an apocalyptic number.

121220100111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121220100111 is a deficient number, since it is larger than the sum of its proper divisors (66712801137).

121220100111 is a wasteful number, since it uses less digits than its factorization.

121220100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100900 (or 100881 counting only the distinct ones).

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

Adding to 121220100111 its reverse (111001022121), we get a palindrome (232221122232).

The spelling of 121220100111 in words is "one hundred twenty-one billion, two hundred twenty million, one hundred thousand, one hundred eleven".

Divisors: 1 3 11 19 33 57 101 209 303 361 627 1083 1111 1919 3333 3971 5757 11913 21109 36461 63327 100747 109383 302241 401071 1108217 1203213 1914193 3324651 5742579 10175447 21056123 30526341 36369667 63168369 109109001 111929917 193333493 335789751 400066337 580000479 1200199011 2126668423 3673336367 6380005269 11020009101 40406700037 121220100111