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20312302200200 = 23522940119494481
BaseRepresentation
bin1001001111001010100111…
…00011101010010110001000
32122220211121021011001111022
410213211103203222112020
510130244043330401300
6111111202014052012
74164341532643163
oct447452343522610
978824537131438
1020312302200200
11652144306243a
1223407b0aaa008
13b44598a6553a
145031991a4ada
152535825ab285
hex1279538ea588

20312302200200 has 192 divisors, whose sum is σ = 49012485210000. Its totient is φ = 7819427840000.

The previous prime is 20312302200191. The next prime is 20312302200217. The reversal of 20312302200200 is 200220321302.

It can be written as a sum of positive squares in 24 ways, for example, as 5165992585924 + 15146309614276 = 2272882^2 + 3891826^2 .

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, 4532981960 + ... + 4532986440.

Almost surely, 220312302200200 is an apocalyptic number.

20312302200200 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 20312302200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24506242605000).

20312302200200 is an abundant number, since it is smaller than the sum of its proper divisors (28700183009800).

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

20312302200200 is a wasteful number, since it uses less digits than its factorization.

20312302200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 20312302200200 its reverse (200220321302), we get a palindrome (20512522521502).

The spelling of 20312302200200 in words is "twenty trillion, three hundred twelve billion, three hundred two million, two hundred thousand, two hundred".