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20311238430 = 2345723713831
BaseRepresentation
bin10010111010101001…
…001110011100011110
31221102112011211010000
4102322221032130132
5313044134112210
613155244155130
71316221451400
oct227251163436
957375154100
1020311238430
11868318a06a
123b2a238aa6
131bb900bba2
14da9782b70
157dd249ac0
hex4baa4e71e

20311238430 has 240 divisors, whose sum is σ = 65253123936. Its totient is φ = 4516767360.

The previous prime is 20311238417. The next prime is 20311238473. The reversal of 20311238430 is 3483211302.

20311238430 is a `hidden beast` number, since 203 + 1 + 1 + 23 + 8 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20311238394 and 20311238403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1461615 + ... + 1475445.

Almost surely, 220311238430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20311238430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32626561968).

20311238430 is an abundant number, since it is smaller than the sum of its proper divisors (44941885506).

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

20311238430 is a wasteful number, since it uses less digits than its factorization.

20311238430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13901 (or 13885 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20311238430 its reverse (3483211302), we get a palindrome (23794449732).

The spelling of 20311238430 in words is "twenty billion, three hundred eleven million, two hundred thirty-eight thousand, four hundred thirty".