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20300232400 = 24527231013121
BaseRepresentation
bin10010111001111111…
…001111011011010000
31221101202110122200021
4102321333033123100
5313033324414100
613154212233224
71316026062010
oct227177173320
957352418607
1020300232400
118677a52078
123b2660b814
131bb6957446
14da8119c40
157dc2c3a1a
hex4b9fcf6d0

20300232400 has 240 divisors, whose sum is σ = 58756739328. Its totient is φ = 6589440000.

The previous prime is 20300232391. The next prime is 20300232401. The reversal of 20300232400 is 423200302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20300232401) 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, 6502840 + ... + 6505960.

Almost surely, 220300232400 is an apocalyptic number.

20300232400 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 20300232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29378369664).

20300232400 is an abundant number, since it is smaller than the sum of its proper divisors (38456506928).

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

20300232400 is a wasteful number, since it uses less digits than its factorization.

20300232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20300232400 its reverse (423200302), we get a palindrome (20723432702).

The spelling of 20300232400 in words is "twenty billion, three hundred million, two hundred thirty-two thousand, four hundred".