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21102020200000 = 2655975092137
BaseRepresentation
bin1001100110001001100100…
…11010110000011001000000
32202201100000001220001210201
410303010302122300121000
510231213414132400000
6112514044555334544
74305366506122225
oct463046232603100
982640001801721
1021102020200000
1167a6353302203
122449867a51454
13ba0bb178980c
1452d4b3b5b94c
15268da2d8996a
hex1331326b0640

21102020200000 has 336 divisors, whose sum is σ = 53007816188880. Its totient is φ = 8333475840000.

The previous prime is 21102020199973. The next prime is 21102020200039. The reversal of 21102020200000 is 202020112.

It can be written as a sum of positive squares in 24 ways, for example, as 16314361122816 + 4787659077184 = 4039104^2 + 2188072^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 21102020200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9874598932 + ... + 9874601068.

It is an arithmetic number, because the mean of its divisors is an integer number (157761357705).

Almost surely, 221102020200000 is an apocalyptic number.

21102020200000 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 21102020200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503908094440).

21102020200000 is an abundant number, since it is smaller than the sum of its proper divisors (31905795988880).

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

21102020200000 is an frugal number, since it uses more digits than its factorization.

21102020200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 21102020200000 its reverse (202020112), we get a palindrome (21102222220112).

The spelling of 21102020200000 in words is "twenty-one trillion, one hundred two billion, twenty million, two hundred thousand".