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3004101331 = 7111717912821
BaseRepresentation
bin1011001100001110…
…1111001011010011
321202100202011022021
42303003233023103
522123022220311
61214032152311
7134305303630
oct26303571323
97670664267
103004101331
111301811880
126ba098697
1338b4bc26a
14206d93187
15128b04171
hexb30ef2d3

3004101331 has 32 divisors (see below), whose sum is σ = 3988154880. Its totient is φ = 2190681600.

The previous prime is 3004101293. The next prime is 3004101337. The reversal of 3004101331 is 1331014003.

It is a cyclic number.

It is not a de Polignac number, because 3004101331 - 227 = 2869883603 is a prime.

It is a super-2 number, since 2×30041013312 = 18049249613831943122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3004101337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227901 + ... + 240721.

It is an arithmetic number, because the mean of its divisors is an integer number (124629840).

Almost surely, 23004101331 is an apocalyptic number.

3004101331 is a deficient number, since it is larger than the sum of its proper divisors (984053549).

3004101331 is a wasteful number, since it uses less digits than its factorization.

3004101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13035.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3004101331 is about 54809.6828215599. The cubic root of 3004101331 is about 1442.9065091260.

Adding to 3004101331 its reverse (1331014003), we get a palindrome (4335115334).

The spelling of 3004101331 in words is "three billion, four million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 7 11 17 77 119 179 187 1253 1309 1969 3043 12821 13783 21301 33473 89747 141031 217957 234311 987217 1525699 2294959 2397527 16064713 16782689 25244549 39014303 176711843 273100121 429157333 3004101331