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20311312320 = 26325132291439
BaseRepresentation
bin10010111010101001…
…100000011111000000
31221102112022120110200
4102322221200133000
5313044143443240
613155245525200
71316222206665
oct227251403700
957375276420
1020311312320
11868322a632
123b2a273800
131bb9036700
14da97a1a6c
157dd261930
hex4baa607c0

20311312320 has 504 divisors, whose sum is σ = 78312873600. Its totient is φ = 4823949312.

The previous prime is 20311312297. The next prime is 20311312337. The reversal of 20311312320 is 2321311302.

20311312320 is a `hidden beast` number, since 2 + 0 + 31 + 1 + 312 + 320 = 666.

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 = 20311312293 and 20311312302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14114161 + ... + 14115599.

Almost surely, 220311312320 is an apocalyptic number.

20311312320 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 20311312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39156436800).

20311312320 is an abundant number, since it is smaller than the sum of its proper divisors (58001561280).

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

20311312320 is a wasteful number, since it uses less digits than its factorization.

20311312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20311312320 its reverse (2321311302), we get a palindrome (22632623622).

The spelling of 20311312320 in words is "twenty billion, three hundred eleven million, three hundred twelve thousand, three hundred twenty".