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20323314000 = 24325311102643
BaseRepresentation
bin10010111011010111…
…010010100101010000
31221110100220022200100
4102323113102211100
5313110232022000
613200355052400
71316426214213
oct227327224520
957410808610
1020323314000
118689a87680
123b322a1100
131bbb6793b2
14dab20777a
157de332a00
hex4bb5d2950

20323314000 has 240 divisors, whose sum is σ = 77436275904. Its totient is φ = 4926816000.

The previous prime is 20323313977. The next prime is 20323314001. The reversal of 20323314000 is 41332302.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (20323314001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146679 + ... + 249321.

Almost surely, 220323314000 is an apocalyptic number.

20323314000 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 20323314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38718137952).

20323314000 is an abundant number, since it is smaller than the sum of its proper divisors (57112961904).

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

20323314000 is a wasteful number, since it uses less digits than its factorization.

20323314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102683 (or 102664 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20323314000 its reverse (41332302), we get a palindrome (20364646302).

The spelling of 20323314000 in words is "twenty billion, three hundred twenty-three million, three hundred fourteen thousand".