Search a number
-
+
3001375841 is a prime number
BaseRepresentation
bin1011001011100101…
…0101110001100001
321202011121200122012
42302321111301201
522121323011331
61213453522305
7134243162612
oct26271256141
97664550565
103001375841
111300220102
126b91a3395
1338aa76849
14206883c09
1512876682b
hexb2e55c61

3001375841 has 2 divisors, whose sum is σ = 3001375842. Its totient is φ = 3001375840.

The previous prime is 3001375771. The next prime is 3001375859. The reversal of 3001375841 is 1485731003.

3001375841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2458672225 + 542703616 = 49585^2 + 23296^2 .

It is an emirp because it is prime and its reverse (1485731003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3001375841 - 226 = 2934266977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3001375798 and 3001375807.

It is not a weakly prime, because it can be changed into another prime (3001375541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500687920 + 1500687921.

It is an arithmetic number, because the mean of its divisors is an integer number (1500687921).

Almost surely, 23001375841 is an apocalyptic number.

It is an amenable number.

3001375841 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001375841 is an equidigital number, since it uses as much as digits as its factorization.

3001375841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 3001375841 is about 54784.8139633603. The cubic root of 3001375841 is about 1442.4700150657.

The spelling of 3001375841 in words is "three billion, one million, three hundred seventy-five thousand, eight hundred forty-one".