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20213203430000 = 245471011128559
BaseRepresentation
bin1001001100010010000001…
…10011110110101001110000
32122120100210220022221010002
410212021000303312221300
510122133120034230000
6110553452323325132
74154233011204620
oct446110063665160
978510726287102
1020213203430000
11649340a419659
122325554b207a8
13b38134b90189
144dc477b00880
15250bd25428d5
hex126240cf6a70

20213203430000 has 200 divisors, whose sum is σ = 55936846479360. Its totient is φ = 6929313120000.

The previous prime is 20213203429999. The next prime is 20213203430023. The reversal of 20213203430000 is 3430231202.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 707755721 + ... + 707784279.

Almost surely, 220213203430000 is an apocalyptic number.

20213203430000 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 20213203430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27968423239680).

20213203430000 is an abundant number, since it is smaller than the sum of its proper divisors (35723643049360).

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

20213203430000 is a wasteful number, since it uses less digits than its factorization.

20213203430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38705 (or 38684 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20213203430000 its reverse (3430231202), we get a palindrome (20216633661202).

The spelling of 20213203430000 in words is "twenty trillion, two hundred thirteen billion, two hundred three million, four hundred thirty thousand".