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2001123414 = 233175936947
BaseRepresentation
bin111011101000110…
…1011100001010110
312011110110121021000
41313101223201112
513044241422124
6530323004130
7100406161023
oct16721534126
95143417230
102001123414
11937644704
1247a209646
1325b77b7c4
1414daac54a
15baa356c9
hex7746b856

2001123414 has 64 divisors (see below), whose sum is σ = 4788460800. Its totient is φ = 617145984.

The previous prime is 2001123407. The next prime is 2001123433. The reversal of 2001123414 is 4143211002.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35689 + ... + 72635.

It is an arithmetic number, because the mean of its divisors is an integer number (74819700).

Almost surely, 22001123414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001123414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394230400).

2001123414 is an abundant number, since it is smaller than the sum of its proper divisors (2787337386).

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

2001123414 is a wasteful number, since it uses less digits than its factorization.

2001123414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37034 (or 37028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2001123414 is about 44733.9179370643. The cubic root of 2001123414 is about 1260.1569078971.

Adding to 2001123414 its reverse (4143211002), we get a palindrome (6144334416).

The spelling of 2001123414 in words is "two billion, one million, one hundred twenty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 102 118 153 177 306 354 459 531 918 1003 1062 1593 2006 3009 3186 6018 9027 18054 27081 36947 54162 73894 110841 221682 332523 628099 665046 997569 1256198 1884297 1995138 2179873 3768594 4359746 5652891 6539619 11305782 13079238 16958673 19618857 33917346 37057841 39237714 58856571 74115682 111173523 117713142 222347046 333520569 667041138 1000561707 2001123414