Search a number
-
+
2000120110120 = 23511192411971559
BaseRepresentation
bin11101000110110000011…
…100101101110000101000
321002012122210212002002001
4131012300130231300220
5230232221222010440
64130501551220344
7264334561265236
oct35066034556050
97065583762061
102000120110120
11701278728350
122837782176b4
131167c23c9452
146cb407d7956
1537063805b9a
hex1d1b072dc28

2000120110120 has 384 divisors, whose sum is σ = 5338113580800. Its totient is φ = 668389478400.

The previous prime is 2000120110117. The next prime is 2000120110171. The reversal of 2000120110120 is 210110210002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2000120110097 and 2000120110106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1282949901 + ... + 1282951459.

It is an arithmetic number, because the mean of its divisors is an integer number (13901337450).

Almost surely, 22000120110120 is an apocalyptic number.

2000120110120 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 2000120110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669056790400).

2000120110120 is an abundant number, since it is smaller than the sum of its proper divisors (3337993470680).

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

2000120110120 is a wasteful number, since it uses less digits than its factorization.

2000120110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2000120110120 its reverse (210110210002), we get a palindrome (2210230320122).

The spelling of 2000120110120 in words is "two trillion, one hundred twenty million, one hundred ten thousand, one hundred twenty".