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21200122021000 = 2353132208360223
BaseRepresentation
bin1001101001000000010011…
…01111100000010010001000
32210001201012221202220222111
410310200021233200102020
510234320322214133000
6113031111314032104
74315441533624166
oct464401157402210
983051187686874
1021200122021000
116833a1521632a
122464885b78634
13baa216c52500
1453413ca6a236
1526b6e5625cba
hex134809be0488

21200122021000 has 192 divisors, whose sum is σ = 53744528747520. Its totient is φ = 7823849529600.

The previous prime is 21200122020997. The next prime is 21200122021021. The reversal of 21200122021000 is 12022100212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 351996889 + ... + 352057111.

It is an arithmetic number, because the mean of its divisors is an integer number (279919420560).

Almost surely, 221200122021000 is an apocalyptic number.

21200122021000 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 21200122021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26872264373760).

21200122021000 is an abundant number, since it is smaller than the sum of its proper divisors (32544406726520).

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

21200122021000 is a wasteful number, since it uses less digits than its factorization.

21200122021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62353 (or 62326 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21200122021000 its reverse (12022100212), we get a palindrome (21212144121212).

The spelling of 21200122021000 in words is "twenty-one trillion, two hundred billion, one hundred twenty-two million, twenty-one thousand".