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20012010000 = 243544611447
BaseRepresentation
bin10010101000110011…
…110000101000010000
31220122200010102212120
4102220303300220100
5311441033310000
613105434454240
71305626164323
oct225063605020
956580112776
1020012010000
11853a292344
123a65b94380
131b6c021348
14d7bb307ba
157c1d3e6a0
hex4a8cf0a10

20012010000 has 200 divisors, whose sum is σ = 64786311744. Its totient is φ = 5321280000.

The previous prime is 20012009959. The next prime is 20012010023. The reversal of 20012010000 is 1021002.

It is a happy number.

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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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, 13829277 + ... + 13830723.

Almost surely, 220012010000 is an apocalyptic number.

20012010000 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 20012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32393155872).

20012010000 is an abundant number, since it is smaller than the sum of its proper divisors (44774301744).

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

20012010000 is a wasteful number, since it uses less digits than its factorization.

20012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20012010000 its reverse (1021002), we get a palindrome (20013031002).

The spelling of 20012010000 in words is "twenty billion, twelve million, ten thousand".