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20243002320 = 2432553210009
BaseRepresentation
bin10010110110100100…
…111011001111010000
31221020202210001202200
4102312210323033100
5312424202033240
613144405443200
71314432452322
oct226644731720
957222701680
1020243002320
118648713292
123b0b410500
131ba7b3a1a8
14da069d612
157d726b930
hex4b693b3d0

20243002320 has 180 divisors, whose sum is σ = 69296567340. Its totient is φ = 5295753216.

The previous prime is 20243002289. The next prime is 20243002333. The reversal of 20243002320 is 2320034202.

20243002320 is a `hidden beast` number, since 2 + 0 + 2 + 430 + 0 + 232 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5007543696 + 15235458624 = 70764^2 + 123432^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20243002293 and 20243002302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2017476 + ... + 2027484.

Almost surely, 220243002320 is an apocalyptic number.

20243002320 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 20243002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34648283670).

20243002320 is an abundant number, since it is smaller than the sum of its proper divisors (49053565020).

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

20243002320 is a wasteful number, since it uses less digits than its factorization.

20243002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134 (or 10072 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20243002320 its reverse (2320034202), we get a palindrome (22563036522).

The spelling of 20243002320 in words is "twenty billion, two hundred forty-three million, two thousand, three hundred twenty".