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2130123330000 = 243254891012633
BaseRepresentation
bin11110111111110101001…
…111101001000111010000
321112122012221211220112200
4132333311033221013100
5234344443033030000
64310322023323200
7306616304363061
oct36776517510720
97478187756480
102130123330000
117514200a6636
122a49b9bb0500
13125b3cb5a723
14751544a0568
153a621aa3500
hex1eff53e91d0

2130123330000 has 600 divisors, whose sum is σ = 7610523509160. Its totient is φ = 555878400000.

The previous prime is 2130123329993. The next prime is 2130123330019. The reversal of 2130123330000 is 333210312.

2130123330000 is a `hidden beast` number, since 2 + 130 + 1 + 233 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 2124469493136 + 5653836864 = 1457556^2 + 75192^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 809008684 + ... + 809011316.

Almost surely, 22130123330000 is an apocalyptic number.

2130123330000 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 2130123330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805261754580).

2130123330000 is an abundant number, since it is smaller than the sum of its proper divisors (5480400179160).

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

2130123330000 is a wasteful number, since it uses less digits than its factorization.

2130123330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2130123330000 its reverse (333210312), we get a palindrome (2130456540312).

The spelling of 2130123330000 in words is "two trillion, one hundred thirty billion, one hundred twenty-three million, three hundred thirty thousand".