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200113221021120 = 263351129713073331
BaseRepresentation
bin101101100000000001111101…
…011101000010110111000000
3222020112122012102221212021000
4231200001331131002313000
5202212123334040133440
61545334424500532000
760102463111156221
oct5540017535026700
9866478172855230
10200113221021120
11588425a4364290
121a53b3489b1000
138787798ba7734
14375b762905248
15182060dd38730
hexb6007d742dc0

200113221021120 has 1792 divisors, whose sum is σ = 810784932249600. Its totient is φ = 46015506432000.

The previous prime is 200113221021113. The next prime is 200113221021163. The reversal of 200113221021120 is 21120122311002.

200113221021120 is a `hidden beast` number, since 200 + 1 + 1 + 322 + 1 + 0 + 21 + 120 = 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 = 200113221021093 and 200113221021102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 60076017855 + ... + 60076021185.

It is an arithmetic number, because the mean of its divisors is an integer number (452446948800).

Almost surely, 2200113221021120 is an apocalyptic number.

200113221021120 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 200113221021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405392466124800).

200113221021120 is an abundant number, since it is smaller than the sum of its proper divisors (610671711228480).

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

200113221021120 is a wasteful number, since it uses less digits than its factorization.

200113221021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 200113221021120 its reverse (21120122311002), we get a palindrome (221233343332122).

The spelling of 200113221021120 in words is "two hundred trillion, one hundred thirteen billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".