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20171002320 = 243557148229
BaseRepresentation
bin10010110010010010…
…010001000111010000
31221001202022002100000
4102302102101013100
5312302234033240
613133314330000
71312566455640
oct226222210720
957052262300
1020171002320
118611006657
123aab289900
131b95c4b241
14d94cba520
157d0c98430
hex4b24911d0

20171002320 has 240 divisors, whose sum is σ = 80286111360. Its totient is φ = 4610483712.

The previous prime is 20171002301. The next prime is 20171002321. The reversal of 20171002320 is 2320017102.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 20171002293 and 20171002302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20171002321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 61966 + ... + 210194.

It is an arithmetic number, because the mean of its divisors is an integer number (334525464).

Almost surely, 220171002320 is an apocalyptic number.

20171002320 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 20171002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40143055680).

20171002320 is an abundant number, since it is smaller than the sum of its proper divisors (60115109040).

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

20171002320 is a wasteful number, since it uses less digits than its factorization.

20171002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148264 (or 148246 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

Adding to 20171002320 its reverse (2320017102), we get a palindrome (22491019422).

The spelling of 20171002320 in words is "twenty billion, one hundred seventy-one million, two thousand, three hundred twenty".