Search a number
-
+
20122122110211 = 321123103269318949
BaseRepresentation
bin1001001001101000010111…
…11100001100010100000011
32122020122201021202111002200
410210310023330030110003
510114140101230011321
6110443550354444243
74144526641566342
oct444641374142403
978218637674080
1020122122110211
116458820391a50
12230b975b93683
13b2c67b02aa04
144d7cb7367b59
1524d6512bed26
hex124d0bf0c503

20122122110211 has 96 divisors (see below), whose sum is σ = 33531698304000. Its totient is φ = 11508766536960.

The previous prime is 20122122110191. The next prime is 20122122110269. The reversal of 20122122110211 is 11201122122102.

20122122110211 is a `hidden beast` number, since 2 + 0 + 1 + 221 + 221 + 10 + 211 = 666.

It is not a de Polignac number, because 20122122110211 - 215 = 20122122077443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20122122110281) 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 95 ways as a sum of consecutive naturals, for example, 62929365 + ... + 63248313.

It is an arithmetic number, because the mean of its divisors is an integer number (349288524000).

Almost surely, 220122122110211 is an apocalyptic number.

20122122110211 is a deficient number, since it is larger than the sum of its proper divisors (13409576193789).

20122122110211 is a wasteful number, since it uses less digits than its factorization.

20122122110211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319361 (or 319358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20122122110211 its reverse (11201122122102), we get a palindrome (31323244232313).

The spelling of 20122122110211 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, two hundred eleven".

Divisors: 1 3 9 11 23 33 69 99 103 207 253 269 309 759 807 927 1133 2277 2369 2421 2959 3399 6187 7107 8877 10197 18561 21321 26059 26631 27707 55683 68057 78177 83121 204171 234531 249363 304777 318949 612513 637261 914331 956847 1911783 2742993 2870541 3508439 5735349 7009871 7335827 10525317 21029613 22007481 31575951 32851747 63088839 66022443 80694097 85797281 98555241 242082291 257391843 295665723 361369217 726246873 755590181 772175529 943770091 1084107651 1973337463 2266770543 2831310273 3252322953 5920012389 6800311629 8311491991 8493930819 8837119943 17760037167 21706712093 24934475973 26511359829 65120136279 74803427919 79534079487 97208319373 195360408837 203253758689 291624958119 609761276067 874874874357 1829283828201 2235791345579 6707374036737 20122122110211