Search a number
-
+
112202120022021 = 3229429893180161
BaseRepresentation
bin11001100000110000010111…
…100000011100100000000101
3112201021102021122212121001200
4121200300113200130200011
5104201304420211201041
61034344535314213113
732430223063046061
oct3140602740344005
9481242248777050
10112202120022021
1132829719716097
1210701632b84199
134a7b7cb132ca3
141d9c87c290aa1
15ce897bd341b6
hex660c1781c805

112202120022021 has 12 divisors (see below), whose sum is σ = 167658340263180. Its totient is φ = 72222054266880.

The previous prime is 112202120021947. The next prime is 112202120022049. The reversal of 112202120022021 is 120220021202211.

It is a happy number.

112202120022021 is a `hidden beast` number, since 1 + 1 + 220 + 2 + 1 + 200 + 220 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85566921557121 + 26635198464900 = 9250239^2 + 5160930^2 .

It is not a de Polignac number, because 112202120022021 - 225 = 112202086467589 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 112202120021985 and 112202120022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112202120022071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214946589820 + ... + 214946590341.

It is an arithmetic number, because the mean of its divisors is an integer number (13971528355265).

Almost surely, 2112202120022021 is an apocalyptic number.

It is an amenable number.

112202120022021 is a deficient number, since it is larger than the sum of its proper divisors (55456220241159).

112202120022021 is a wasteful number, since it uses less digits than its factorization.

112202120022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429893180196 (or 429893180193 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112202120022021 its reverse (120220021202211), we get a palindrome (232422141224232).

The spelling of 112202120022021 in words is "one hundred twelve trillion, two hundred two billion, one hundred twenty million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 29 87 261 429893180161 1289679540483 3869038621449 12466902224669 37400706674007 112202120022021