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3004105121 is a prime number
BaseRepresentation
bin1011001100001111…
…0000000110100001
321202100202100111122
42303003300012201
522123022330441
61214032222025
7134305320653
oct26303600641
97670670448
103004105121
111301814706
126ba09a915
1338b4c0bc4
14206d946d3
15128b0534b
hexb30f01a1

3004105121 has 2 divisors, whose sum is σ = 3004105122. Its totient is φ = 3004105120.

The previous prime is 3004105103. The next prime is 3004105129. The reversal of 3004105121 is 1215014003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1739307025 + 1264798096 = 41705^2 + 35564^2 .

It is a cyclic number.

It is not a de Polignac number, because 3004105121 - 26 = 3004105057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3004105121.

It is not a weakly prime, because it can be changed into another prime (3004105129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502052560 + 1502052561.

It is an arithmetic number, because the mean of its divisors is an integer number (1502052561).

Almost surely, 23004105121 is an apocalyptic number.

It is an amenable number.

3004105121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3004105121 is an equidigital number, since it uses as much as digits as its factorization.

3004105121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 3004105121 is about 54809.7173957319. The cubic root of 3004105121 is about 1442.9071159201.

Adding to 3004105121 its reverse (1215014003), we get a palindrome (4219119124).

The spelling of 3004105121 in words is "three billion, four million, one hundred five thousand, one hundred twenty-one".