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1030401413 is a prime number
BaseRepresentation
bin111101011010101…
…010110110000101
32122210212211000022
4331122222312011
54102240321123
6250125024525
734351160516
oct7532526605
92583784008
101030401413
114896a8918
122490b5145
13135622aa2
149abc2a0d
15606d91c8
hex3d6aad85

1030401413 has 2 divisors, whose sum is σ = 1030401414. Its totient is φ = 1030401412.

The previous prime is 1030401377. The next prime is 1030401431. The reversal of 1030401413 is 3141040301.

Together with next prime (1030401431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1028035969 + 2365444 = 32063^2 + 1538^2 .

It is a cyclic number.

It is not a de Polignac number, because 1030401413 - 212 = 1030397317 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 = 1030401391 and 1030401400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1030401443) 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, 515200706 + 515200707.

It is an arithmetic number, because the mean of its divisors is an integer number (515200707).

Almost surely, 21030401413 is an apocalyptic number.

It is an amenable number.

1030401413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030401413 is an equidigital number, since it uses as much as digits as its factorization.

1030401413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1030401413 is about 32099.8662458273. The cubic root of 1030401413 is about 1010.0328104232.

Adding to 1030401413 its reverse (3141040301), we get a palindrome (4171441714).

The spelling of 1030401413 in words is "one billion, thirty million, four hundred one thousand, four hundred thirteen".