Search a number
-
+
3005120029 is a prime number
BaseRepresentation
bin1011001100011110…
…0111111000011101
321202102122220200211
42303013213320131
522123302320104
61214110052421
7134320045612
oct26307477035
97672586624
103005120029
11130234817a
126ba4aa111
1338b787b42
1420717a509
15128c55e04
hexb31e7e1d

3005120029 has 2 divisors, whose sum is σ = 3005120030. Its totient is φ = 3005120028.

The previous prime is 3005120003. The next prime is 3005120119. The reversal of 3005120029 is 9200215003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2889062500 + 116057529 = 53750^2 + 10773^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3005120029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3005119991 and 3005120009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3005120329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502560014 + 1502560015.

It is an arithmetic number, because the mean of its divisors is an integer number (1502560015).

Almost surely, 23005120029 is an apocalyptic number.

It is an amenable number.

3005120029 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005120029 is an equidigital number, since it uses as much as digits as its factorization.

3005120029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 3005120029 is about 54818.9750816266. The cubic root of 3005120029 is about 1443.0695883852.

The spelling of 3005120029 in words is "three billion, five million, one hundred twenty thousand, twenty-nine".