Search a number
-
+
21223232113122 = 23213138637654209
BaseRepresentation
bin1001101001101011010110…
…01101100000100111100010
32210010220212112111020120100
410310311223031200213202
510240210134410104442
6113045452423323230
74320220322311104
oct464655315404742
983126775436510
1021223232113122
1168427a426a616
1224692555b0516
13bac45aa79930
145352d2015574
1526c0e943084c
hex134d6b3609e2

21223232113122 has 48 divisors (see below), whose sum is σ = 49521307825080. Its totient is φ = 6530168180736.

The previous prime is 21223232113091. The next prime is 21223232113159. The reversal of 21223232113122 is 22131123232212.

21223232113122 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 323 + 21 + 1 + 312 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11440230640281 + 9783001472841 = 3382341^2 + 3127779^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32113954 + ... + 32768162.

Almost surely, 221223232113122 is an apocalyptic number.

21223232113122 is an abundant number, since it is smaller than the sum of its proper divisors (28298075711958).

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

21223232113122 is a wasteful number, since it uses less digits than its factorization.

21223232113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792867 (or 792864 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 21223232113122 its reverse (22131123232212), we get a palindrome (43354355345334).

The spelling of 21223232113122 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred thirty-two million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 138637 277274 415911 654209 831822 1247733 1308418 1802281 1962627 2495466 3604562 3925254 5406843 5887881 8504717 10813686 11775762 16220529 17009434 25514151 32441058 51028302 76542453 153084906 90697573133 181395146266 272092719399 544185438798 816278158197 1179068450729 1632556316394 2358136901458 3537205352187 7074410704374 10611616056561 21223232113122