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2010023322120 = 23325111811280277
BaseRepresentation
bin11101001111111110101…
…110011110001000001000
321010011012222111101000200
4131033332232132020020
5230413011432301440
64135220355332200
7265135152223362
oct35177656361010
97104188441020
102010023322120
1170549a845080
122856808b1060
131177100290c8
146d3ddb63d32
1537442e45c30
hex1d3feb9e208

2010023322120 has 192 divisors, whose sum is σ = 7130406853440. Its totient is φ = 487007577600.

The previous prime is 2010023322077. The next prime is 2010023322127. The reversal of 2010023322120 is 212233200102.

2010023322120 is a `hidden beast` number, since 20 + 100 + 2 + 332 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2010023322093 and 2010023322102.

It is not an unprimeable number, because it can be changed into a prime (2010023322127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7031422 + ... + 7311698.

It is an arithmetic number, because the mean of its divisors is an integer number (37137535695).

Almost surely, 22010023322120 is an apocalyptic number.

2010023322120 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 2010023322120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565203426720).

2010023322120 is an abundant number, since it is smaller than the sum of its proper divisors (5120383531320).

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

2010023322120 is a wasteful number, since it uses less digits than its factorization.

2010023322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282116 (or 282109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2010023322120 its reverse (212233200102), we get a palindrome (2222256522222).

The spelling of 2010023322120 in words is "two trillion, ten billion, twenty-three million, three hundred twenty-two thousand, one hundred twenty".