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2000223121320 = 233252937101167307
BaseRepresentation
bin11101000110110110100…
…101101010111110101000
321002012220222200120212200
4131012312211222332220
5230232424104340240
64130520111140200
7264340252001364
oct35066645527650
97065828616780
102000223121320
11701320896176
122837a6814660
1311680a855718
146cb503702a4
153706c8a2930
hex1d1b696afa8

2000223121320 has 768 divisors, whose sum is σ = 7039647014400. Its totient is φ = 491542732800.

The previous prime is 2000223121271. The next prime is 2000223121327. The reversal of 2000223121320 is 231213220002.

2000223121320 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 223 + 121 + 320 = 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 = 2000223121293 and 2000223121302.

It is not an unprimeable number, because it can be changed into a prime (2000223121327) 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 191 ways as a sum of consecutive naturals, for example, 6515384607 + ... + 6515384913.

It is an arithmetic number, because the mean of its divisors is an integer number (9166207050).

Almost surely, 22000223121320 is an apocalyptic number.

2000223121320 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 2000223121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519823507200).

2000223121320 is an abundant number, since it is smaller than the sum of its proper divisors (5039423893080).

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

2000223121320 is a wasteful number, since it uses less digits than its factorization.

2000223121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

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

Adding to 2000223121320 its reverse (231213220002), we get a palindrome (2231436341322).

The spelling of 2000223121320 in words is "two trillion, two hundred twenty-three million, one hundred twenty-one thousand, three hundred twenty".