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21220200211122 = 232115910399174679
BaseRepresentation
bin1001101001100101101100…
…11111101110001010110010
32210010122001020102122220200
410310302312133232022302
510240132432223223442
6113044231515220030
74320052225465503
oct464626637561262
983118036378820
1021220200211122
11684148889a790
12246874a147616
13bac0968a5793
145350c54a6baa
1526bebd18934c
hex134cb67ee2b2

21220200211122 has 96 divisors (see below), whose sum is σ = 51012149760000. Its totient is φ = 6320730417120.

The previous prime is 21220200211079. The next prime is 21220200211123. The reversal of 21220200211122 is 22111200202212.

It is a happy number.

21220200211122 is a `hidden beast` number, since 21 + 220 + 200 + 211 + 12 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21220200211095 and 21220200211104.

It is not an unprimeable number, because it can be changed into a prime (21220200211123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121393779 + ... + 121568457.

It is an arithmetic number, because the mean of its divisors is an integer number (531376560000).

Almost surely, 221220200211122 is an apocalyptic number.

21220200211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220200211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25506074880000).

21220200211122 is an abundant number, since it is smaller than the sum of its proper divisors (29791949548878).

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

21220200211122 is a wasteful number, since it uses less digits than its factorization.

21220200211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185156 (or 185153 counting only the distinct ones).

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

Adding to 21220200211122 its reverse (22111200202212), we get a palindrome (43331400413334).

The spelling of 21220200211122 in words is "twenty-one trillion, two hundred twenty billion, two hundred million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 5841 10399 11682 20798 31197 62394 93591 114389 174679 187182 228778 343167 349358 524037 613541 686334 1029501 1048074 1227082 1572111 1840623 1921469 2059002 3144222 3681246 3842938 5521869 5764407 6748951 10306061 11043738 11528814 13497902 17293221 20246853 20612122 30918183 34586442 40493706 60740559 61836366 92754549 113366671 121481118 185509098 226733342 340100013 680200026 1020300039 1816486921 2040600078 3632973842 5449460763 10898921526 16348382289 19981356131 32696764578 39962712262 59944068393 107172728339 119888136786 179832205179 214345456678 321518185017 359664410358 643036370034 964554555051 1178900011729 1929109110102 2357800023458 3536700035187 7073400070374 10610100105561 21220200211122