Search a number
-
+
22022012221101 = 338312497867789
BaseRepresentation
bin1010000000111011001100…
…01101110011011010101101
32212222021122220012001022000
411000131212031303122231
510341302040112033401
6114500434525242513
74432015664225454
oct500354615633255
985867586161260
1022022012221101
117020534871392
12257801b403439
13c398890888b9
14561c2a34db9b
15282c9a5a8186
hex1407663736ad

22022012221101 has 32 divisors (see below), whose sum is σ = 33044718000000. Its totient is φ = 14492843149824.

The previous prime is 22022012221057. The next prime is 22022012221103. The reversal of 22022012221101 is 10112221022022.

It is a happy number.

22022012221101 is a `hidden beast` number, since 220 + 220 + 1 + 2 + 221 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 22022012221101 - 29 = 22022012220589 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022012221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134886 + ... + 6732903.

It is an arithmetic number, because the mean of its divisors is an integer number (1032647437500).

Almost surely, 222022012221101 is an apocalyptic number.

It is an amenable number.

22022012221101 is a deficient number, since it is larger than the sum of its proper divisors (11022705778899).

22022012221101 is a wasteful number, since it uses less digits than its factorization.

22022012221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7869130 (or 7869124 counting only the distinct ones).

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

Adding to 22022012221101 its reverse (10112221022022), we get a palindrome (32134233243123).

The spelling of 22022012221101 in words is "twenty-two trillion, twenty-two billion, twelve million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 9 27 83 249 747 1249 2241 3747 11241 33723 103667 311001 933003 2799009 7867789 23603367 70810101 212430303 653026487 1959079461 5877238383 9826868461 17631715149 29480605383 88441816149 265325448447 815630082263 2446890246789 7340670740367 22022012221101