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3813410401 is a prime number
BaseRepresentation
bin1110001101001100…
…0000011001100001
3100211202121022122021
43203103000121201
530302213113101
61430222341441
7163333311403
oct34323003141
910752538567
103813410401
111687630749
128a512a881
1348a081378
14282662b73
15174bb95a1
hexe34c0661

3813410401 has 2 divisors, whose sum is σ = 3813410402. Its totient is φ = 3813410400.

The previous prime is 3813410357. The next prime is 3813410411. The reversal of 3813410401 is 1040143183.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2848997376 + 964413025 = 53376^2 + 31055^2 .

It is an emirp because it is prime and its reverse (1040143183) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3813410401 - 29 = 3813409889 is a prime.

It is not a weakly prime, because it can be changed into another prime (3813410411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1906705200 + 1906705201.

It is an arithmetic number, because the mean of its divisors is an integer number (1906705201).

Almost surely, 23813410401 is an apocalyptic number.

It is an amenable number.

3813410401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3813410401 is an equidigital number, since it uses as much as digits as its factorization.

3813410401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3813410401 is about 61752.8169478932. The cubic root of 3813410401 is about 1562.3242803224.

Adding to 3813410401 its reverse (1040143183), we get a palindrome (4853553584).

The spelling of 3813410401 in words is "three billion, eight hundred thirteen million, four hundred ten thousand, four hundred one".