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2130203221200 = 243552199110129
BaseRepresentation
bin11110111111111010000…
…000011001110011010000
321112122102112011210200000
4132333322000121303100
5234400124011034300
64310333555530000
7306621264424035
oct36777200316320
97478375153600
102130203221200
1175146120301a
122a4a208b9900
13125b53580422
1475160d3938c
153a628ad4c00
hex1effa019cd0

2130203221200 has 360 divisors, whose sum is σ = 7704782904000. Its totient is φ = 565194516480.

The previous prime is 2130203221151. The next prime is 2130203221213. The reversal of 2130203221200 is 21223020312.

2130203221200 is a `hidden beast` number, since 21 + 302 + 0 + 322 + 1 + 20 + 0 = 666.

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

It is a super-2 number, since 2×21302032212002 (a number of 25 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 19287736 + ... + 19397864.

Almost surely, 22130203221200 is an apocalyptic number.

2130203221200 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 2130203221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852391452000).

2130203221200 is an abundant number, since it is smaller than the sum of its proper divisors (5574579682800).

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

2130203221200 is a wasteful number, since it uses less digits than its factorization.

2130203221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110361 (or 110338 counting only the distinct ones).

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

Adding to 2130203221200 its reverse (21223020312), we get a palindrome (2151426241512).

The spelling of 2130203221200 in words is "two trillion, one hundred thirty billion, two hundred three million, two hundred twenty-one thousand, two hundred".