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20020212010200 = 23352331409924593
BaseRepresentation
bin1001000110101010100011…
…01000000000110011011000
32121212220122222221000020010
410203111101220000303120
510111002343233311300
6110325054115401520
74134261342204213
oct443252150006330
977786588830203
1020020212010200
1164195848324a6
1222b40745b32a0
13b22b8988c49c
144d2daa77077a
1524ab8952ea50
hex123551a00cd8

20020212010200 has 192 divisors, whose sum is σ = 62267876208000. Its totient is φ = 5321079244800.

The previous prime is 20020212010199. The next prime is 20020212010231. The reversal of 20020212010200 is 201021202002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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, 814049104 + ... + 814073696.

It is an arithmetic number, because the mean of its divisors is an integer number (324311855250).

Almost surely, 220020212010200 is an apocalyptic number.

20020212010200 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 20020212010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31133938104000).

20020212010200 is an abundant number, since it is smaller than the sum of its proper divisors (42247664197800).

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

20020212010200 is a wasteful number, since it uses less digits than its factorization.

20020212010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29042 (or 29033 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20020212010200 its reverse (201021202002), we get a palindrome (20221233212202).

The spelling of 20020212010200 in words is "twenty trillion, twenty billion, two hundred twelve million, ten thousand, two hundred".