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20001020000 = 255413431789
BaseRepresentation
bin10010101000001001…
…110101100001100000
31220121220110002102112
4102220021311201200
5311430230120000
613104403134452
71305433602443
oct225011654140
956556402375
1020001020000
1185340663a5
123a62374428
131b69973ca0
14d7a4ad65a
157c0dbd235
hex4a8275860

20001020000 has 240 divisors, whose sum is σ = 54253195920. Its totient is φ = 7209216000.

The previous prime is 20001019993. The next prime is 20001020003. The reversal of 20001020000 is 2010002.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11179106 + ... + 11180894.

It is an arithmetic number, because the mean of its divisors is an integer number (226054983).

Almost surely, 220001020000 is an apocalyptic number.

20001020000 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 20001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27126597960).

20001020000 is an abundant number, since it is smaller than the sum of its proper divisors (34252175920).

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

20001020000 is a wasteful number, since it uses less digits than its factorization.

20001020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

Adding to 20001020000 its reverse (2010002), we get a palindrome (20003030002).

The spelling of 20001020000 in words is "twenty billion, one million, twenty thousand".