Search a number
-
+
3005033713 = 111797165667
BaseRepresentation
bin1011001100011101…
…0010110011110001
321202102111112021221
42303013102303301
522123242034323
61214104145041
7134316236143
oct26307226361
97672445257
103005033713
111302299340
126ba468181
1338b757776
14207156c93
15128c3a55d
hexb31d2cf1

3005033713 has 16 divisors (see below), whose sum is σ = 3506860224. Its totient is φ = 2544629760.

The previous prime is 3005033657. The next prime is 3005033729. The reversal of 3005033713 is 3173305003.

It is a cyclic number.

It is not a de Polignac number, because 3005033713 - 29 = 3005033201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3005030713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64695 + ... + 100972.

It is an arithmetic number, because the mean of its divisors is an integer number (219178764).

Almost surely, 23005033713 is an apocalyptic number.

It is an amenable number.

3005033713 is a deficient number, since it is larger than the sum of its proper divisors (501826511).

3005033713 is a wasteful number, since it uses less digits than its factorization.

3005033713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165792.

The product of its (nonzero) digits is 2835, while the sum is 25.

The square root of 3005033713 is about 54818.1877938335. The cubic root of 3005033713 is about 1443.0557718336.

Adding to 3005033713 its reverse (3173305003), we get a palindrome (6178338716).

The spelling of 3005033713 in words is "three billion, five million, thirty-three thousand, seven hundred thirteen".

Divisors: 1 11 17 97 187 1067 1649 18139 165667 1822337 2816339 16069699 30979729 176766689 273184883 3005033713