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20400303000 = 23353711471879
BaseRepresentation
bin10010111111111100…
…111110101110011000
31221122201202202201210
4102333330332232120
5313234434144000
613212145143120
71321352500020
oct227774765630
957581682653
1020400303000
118719491650
123b5402aaa0
131c015c410c
14db7528a80
157e5e8e350
hex4bff3eb98

20400303000 has 512 divisors, whose sum is σ = 81086054400. Its totient is φ = 4146624000.

The previous prime is 20400302971. The next prime is 20400303037. The reversal of 20400303000 is 30300402.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10856061 + ... + 10857939.

It is an arithmetic number, because the mean of its divisors is an integer number (158371200).

Almost surely, 220400303000 is an apocalyptic number.

20400303000 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 20400303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40543027200).

20400303000 is an abundant number, since it is smaller than the sum of its proper divisors (60685751400).

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

20400303000 is a wasteful number, since it uses less digits than its factorization.

20400303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20400303000 its reverse (30300402), we get a palindrome (20430603402).

The spelling of 20400303000 in words is "twenty billion, four hundred million, three hundred three thousand".