Search a number
-
+
20332211330000 = 2454103183110781
BaseRepresentation
bin1001001111101111101100…
…01110111101101111010000
32122222201222202200122021002
410213313312032331233100
510131110332100030000
6111124253335521132
74165645102521323
oct447676616755720
978881882618232
1020332211330000
11652992a266319
1223446285291a8
13b4641c67510b
145041273947ba
15253d4a3778d5
hex127df63bdbd0

20332211330000 has 200 divisors, whose sum is σ = 49736001085056. Its totient is φ = 8048779200000.

The previous prime is 20332211329967. The next prime is 20332211330117. The reversal of 20332211330000 is 3311223302.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1885924610 + ... + 1885935390.

Almost surely, 220332211330000 is an apocalyptic number.

20332211330000 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 20332211330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24868000542528).

20332211330000 is an abundant number, since it is smaller than the sum of its proper divisors (29403789755056).

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

20332211330000 is a wasteful number, since it uses less digits than its factorization.

20332211330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12743 (or 12722 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 20332211330000 its reverse (3311223302), we get a palindrome (20335522553302).

The spelling of 20332211330000 in words is "twenty trillion, three hundred thirty-two billion, two hundred eleven million, three hundred thirty thousand".