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21221120022200 = 23527195297150611
BaseRepresentation
bin1001101001100111011010…
…10100100001011010111000
32210010201102100012220111122
410310303231110201122320
510240141323211202300
6113044503054044412
74320114064655450
oct464635524413270
983121370186448
1021221120022200
11684191002342a
1224689661a9708
13bac1b23175a7
145351716dcd60
1526c023ccac85
hex134ced5216b8

21221120022200 has 192 divisors, whose sum is σ = 59366912774400. Its totient is φ = 6891528038400.

The previous prime is 21221120022169. The next prime is 21221120022217. The reversal of 21221120022200 is 222002112212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140824895 + ... + 140975505.

It is an arithmetic number, because the mean of its divisors is an integer number (309202670700).

Almost surely, 221221120022200 is an apocalyptic number.

21221120022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221120022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29683456387200).

21221120022200 is an abundant number, since it is smaller than the sum of its proper divisors (38145792752200).

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

21221120022200 is a wasteful number, since it uses less digits than its factorization.

21221120022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155950 (or 155941 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21221120022200 its reverse (222002112212), we get a palindrome (21443122134412).

The spelling of 21221120022200 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twenty million, twenty-two thousand, two hundred".