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20020001101200 = 243252172647123583
BaseRepresentation
bin1001000110101010001010…
…00011011101010110010000
32121212220010022001201110200
410203111011003131112100
510111001430240214300
6110325021143055200
74134253201413162
oct443250503352620
977786108051420
1020020001101200
116419486779441
1222b4015a41500
13b22b54c85969
144d2d8a74c932
1524ab75c6d200
hex1235450dd590

20020001101200 has 360 divisors, whose sum is σ = 73590113645568. Its totient is φ = 5022688849920.

The previous prime is 20020001101169. The next prime is 20020001101207. The reversal of 20020001101200 is 210110002002.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20020001101207) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 161934609 + ... + 162058191.

Almost surely, 220020001101200 is an apocalyptic number.

20020001101200 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 20020001101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36795056822784).

20020001101200 is an abundant number, since it is smaller than the sum of its proper divisors (53570112544368).

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

20020001101200 is a wasteful number, since it uses less digits than its factorization.

20020001101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126271 (or 126257 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20020001101200 its reverse (210110002002), we get a palindrome (20230111103202).

The spelling of 20020001101200 in words is "twenty trillion, twenty billion, one million, one hundred one thousand, two hundred".