Search a number
-
+
3005106149 is a prime number
BaseRepresentation
bin1011001100011110…
…0100011111100101
321202102122012122202
42303013210133211
522123301344044
61214105504245
7134316660263
oct26307443745
97672565582
103005106149
111302338801
126ba4a2085
1338b781726
14207175433
15128c51c4e
hexb31e47e5

3005106149 has 2 divisors, whose sum is σ = 3005106150. Its totient is φ = 3005106148.

The previous prime is 3005106119. The next prime is 3005106151. The reversal of 3005106149 is 9416015003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3005013124 + 93025 = 54818^2 + 305^2 .

It is a cyclic number.

It is not a de Polignac number, because 3005106149 - 28 = 3005105893 is a prime.

It is a super-2 number, since 2×30051061492 = 18061325933515220402, which contains 22 as substring.

Together with 3005106151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3005106119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1502553074 + 1502553075.

It is an arithmetic number, because the mean of its divisors is an integer number (1502553075).

Almost surely, 23005106149 is an apocalyptic number.

It is an amenable number.

3005106149 is a deficient number, since it is larger than the sum of its proper divisors (1).

3005106149 is an equidigital number, since it uses as much as digits as its factorization.

3005106149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 3005106149 is about 54818.8484829807. The cubic root of 3005106149 is about 1443.0673666396.

The spelling of 3005106149 in words is "three billion, five million, one hundred six thousand, one hundred forty-nine".