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2003116014 = 233295032543
BaseRepresentation
bin111011101100101…
…0001111111101110
312011121012211121000
41313121101333232
513100244203024
6530433421130
7100432130244
oct16731217756
95147184530
102003116014
11938785789
1247aa0a7a6
1325bcc8763
1415006a794
15baccacc9
hex77651fee

2003116014 has 64 divisors (see below), whose sum is σ = 4615833600. Its totient is φ = 643146336.

The previous prime is 2003116007. The next prime is 2003116039. The reversal of 2003116014 is 4106113002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786427 + ... + 788969.

It is an arithmetic number, because the mean of its divisors is an integer number (72122400).

Almost surely, 22003116014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003116014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307916800).

2003116014 is an abundant number, since it is smaller than the sum of its proper divisors (2612717586).

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

2003116014 is a wasteful number, since it uses less digits than its factorization.

2003116014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2003116014 is about 44756.1840866712. The cubic root of 2003116014 is about 1260.5750323144.

Adding to 2003116014 its reverse (4106113002), we get a palindrome (6109229016).

The spelling of 2003116014 in words is "two billion, three million, one hundred sixteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 503 522 783 1006 1509 1566 2543 3018 4527 5086 7629 9054 13581 14587 15258 22887 27162 29174 43761 45774 68661 73747 87522 131283 137322 147494 221241 262566 393849 442482 663723 787698 1279129 1327446 1991169 2558258 3837387 3982338 7674774 11512161 23024322 34536483 37094741 69072966 74189482 111284223 222568446 333852669 667705338 1001558007 2003116014