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20002012210000 = 24546318273833
BaseRepresentation
bin1001000110001000101001…
…10101010010001101010000
32121211011200121210100212001
410203010110311102031100
510110203110111210000
6110312444134443344
74133045336356222
oct443042465221520
977734617710761
1020002012210000
116411895494207
1222b0635503554
13b21249144842
144d21615b4412
1524a47185b46a
hex123114d52350

20002012210000 has 200 divisors, whose sum is σ = 48574937594304. Its totient is φ = 7976384640000.

The previous prime is 20002012209967. The next prime is 20002012210007. The reversal of 20002012210000 is 1221020002.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002012210007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5218368084 + ... + 5218371916.

Almost surely, 220002012210000 is an apocalyptic number.

20002012210000 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 20002012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24287468797152).

20002012210000 is an abundant number, since it is smaller than the sum of its proper divisors (28572925384304).

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

20002012210000 is an equidigital number, since it uses as much as digits as its factorization.

20002012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5319 (or 5298 counting only the distinct ones).

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

Adding to 20002012210000 its reverse (1221020002), we get a palindrome (20003233230002).

The spelling of 20002012210000 in words is "twenty trillion, two billion, twelve million, two hundred ten thousand".