[go: up one dir, main page]

Search a number
-
+
2001030001 is a prime number
BaseRepresentation
bin111011101000101…
…0100101101110001
312011110021212010021
41313101110231301
513044230430001
6530321003441
7100405321465
oct16721245561
95143255107
102001030001
11937590503
1247a183581
1325b748129
1414da864a5
15baa17ba1
hex77454b71

2001030001 has 2 divisors, whose sum is σ = 2001030002. Its totient is φ = 2001030000.

The previous prime is 2001029963. The next prime is 2001030019. The reversal of 2001030001 is 1000301002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1995944976 + 5085025 = 44676^2 + 2255^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001030001 - 27 = 2001029873 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001030071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000515000 + 1000515001.

It is an arithmetic number, because the mean of its divisors is an integer number (1000515001).

Almost surely, 22001030001 is an apocalyptic number.

It is an amenable number.

2001030001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001030001 is an equidigital number, since it uses as much as digits as its factorization.

2001030001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 2001030001 is about 44732.8738289862. The cubic root of 2001030001 is about 1260.1372994331.

Adding to 2001030001 its reverse (1000301002), we get a palindrome (3001331003).

The spelling of 2001030001 in words is "two billion, one million, thirty thousand, one".