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2030682931200 = 2153252731173
BaseRepresentation
bin11101100011001110001…
…000101000000000000000
321012010112210012020211100
4131203032020220000000
5231232314312244300
64152514410414400
7266466134055000
oct35431610500000
97163483166740
102030682931200
11713231636170
12289687731400
13119653270671
14703dd8ac000
1537c51a56700
hex1d8ce228000

2030682931200 has 2304 divisors, whose sum is σ = 9381046896000. Its totient is φ = 416179814400.

The previous prime is 2030682931183. The next prime is 2030682931201. The reversal of 2030682931200 is 21392860302.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2030682931201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27817574364 + ... + 27817574436.

Almost surely, 22030682931200 is an apocalyptic number.

2030682931200 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 2030682931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690523448000).

2030682931200 is an abundant number, since it is smaller than the sum of its proper divisors (7350363964800).

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

2030682931200 is an equidigital number, since it uses as much as digits as its factorization.

2030682931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 2030682931200 in words is "two trillion, thirty billion, six hundred eighty-two million, nine hundred thirty-one thousand, two hundred".