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20020201002120 = 233511160118115231
BaseRepresentation
bin1001000110101010100001…
…11110000001010010001000
32121212220122020012201222110
410203111100332001102020
510111002332424031440
6110325053043422320
74134261146505534
oct443252076012210
977786566181873
1020020201002120
1164195795a3a10
1222b40709849a0
13b22b87506b27
144d2da9106bc4
1524ab885a8080
hex123550f81488

20020201002120 has 256 divisors, whose sum is σ = 65610324725760. Its totient is φ = 4846745600000.

The previous prime is 20020201002119. The next prime is 20020201002157. The reversal of 20020201002120 is 2120010202002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20020201002096 and 20020201002105.

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 63 ways as a sum of consecutive naturals, for example, 3827219905 + ... + 3827225135.

It is an arithmetic number, because the mean of its divisors is an integer number (256290330960).

Almost surely, 220020201002120 is an apocalyptic number.

20020201002120 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 20020201002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32805162362880).

20020201002120 is an abundant number, since it is smaller than the sum of its proper divisors (45590123723640).

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

20020201002120 is a wasteful number, since it uses less digits than its factorization.

20020201002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8664 counting only the distinct ones).

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

Adding to 20020201002120 its reverse (2120010202002), we get a palindrome (22140211204122).

The spelling of 20020201002120 in words is "twenty trillion, twenty billion, two hundred one million, two thousand, one hundred twenty".