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2441000101 is a prime number
BaseRepresentation
bin1001000101111110…
…1011010010100101
320022010011122122011
42101133223102211
514444344000401
61042115034221
7114330105241
oct22137532245
96263148564
102441000101
111042976561
1258159b971
132cb942777
14192293421
15e4474451
hex917eb4a5

2441000101 has 2 divisors, whose sum is σ = 2441000102. Its totient is φ = 2441000100.

The previous prime is 2441000069. The next prime is 2441000113. The reversal of 2441000101 is 1010001442.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2197171876 + 243828225 = 46874^2 + 15615^2 .

It is a cyclic number.

It is not a de Polignac number, because 2441000101 - 25 = 2441000069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2441000161) 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, 1220500050 + 1220500051.

It is an arithmetic number, because the mean of its divisors is an integer number (1220500051).

Almost surely, 22441000101 is an apocalyptic number.

It is an amenable number.

2441000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2441000101 is an equidigital number, since it uses as much as digits as its factorization.

2441000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2441000101 is about 49406.4783302757. The cubic root of 2441000101 is about 1346.4470086281.

Adding to 2441000101 its reverse (1010001442), we get a palindrome (3451001543).

The spelling of 2441000101 in words is "two billion, four hundred forty-one million, one hundred one", and thus it is an aban number.