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420231323200 = 265213175920143
BaseRepresentation
bin1100001110101111011…
…11010001111001000000
31111011200122101002000111
412013113233101321000
523341113204320300
6521015051401104
742234503211403
oct6072757217100
91434618332014
10420231323200
11152245698a17
126953a753194
1330820c195c0
14164a70a1d3a
15ade7b099ba
hex61d7bd1e40

420231323200 has 336 divisors, whose sum is σ = 1199120751360. Its totient is φ = 143552839680.

The previous prime is 420231323111. The next prime is 420231323203. The reversal of 420231323200 is 2323132024.

It is not an unprimeable number, because it can be changed into a prime (420231323203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20852329 + ... + 20872471.

It is an arithmetic number, because the mean of its divisors is an integer number (3568811760).

Almost surely, 2420231323200 is an apocalyptic number.

420231323200 is a gapful number since it is divisible by the number (40) 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 420231323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599560375680).

420231323200 is an abundant number, since it is smaller than the sum of its proper divisors (778889428160).

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

420231323200 is a wasteful number, since it uses less digits than its factorization.

420231323200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20254 (or 20239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 420231323200 its reverse (2323132024), we get a palindrome (422554455224).

The spelling of 420231323200 in words is "four hundred twenty billion, two hundred thirty-one million, three hundred twenty-three thousand, two hundred".