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20020320320 = 2657111362501
BaseRepresentation
bin10010101001010011…
…011101100001000000
31220200020202122111012
4102221103131201000
5312000200222240
613110332540052
71306056625550
oct225123354100
956606678435
1020020320320
118543a48a80
123a68921628
131b70970ab0
14d7cc95160
157c2931b65
hex4a94dd840

20020320320 has 224 divisors, whose sum is σ = 64010048256. Its totient is φ = 5760000000.

The previous prime is 20020320289. The next prime is 20020320323. The reversal of 20020320320 is 2302302002.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20020320295 and 20020320304.

It is not an unprimeable number, because it can be changed into a prime (20020320323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289070 + ... + 351570.

It is an arithmetic number, because the mean of its divisors is an integer number (285759144).

Almost surely, 220020320320 is an apocalyptic number.

20020320320 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 20020320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32005024128).

20020320320 is an abundant number, since it is smaller than the sum of its proper divisors (43989727936).

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

20020320320 is a wasteful number, since it uses less digits than its factorization.

20020320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62549 (or 62539 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 20020320320 its reverse (2302302002), we get a palindrome (22322622322).

It can be divided in two parts, 20020 and 320320, that multiplied together give a square (6412806400 = 800802).

The spelling of 20020320320 in words is "twenty billion, twenty million, three hundred twenty thousand, three hundred twenty".