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1033101413 is a prime number
BaseRepresentation
bin111101100100111…
…110000001100101
32122222221222201022
4331210332001211
54103433221123
6250302540525
734413134321
oct7544760145
92588858638
101033101413
11490182423
12249b97745
13136059a16
149b2c6981
1560a6e1c8
hex3d93e065

1033101413 has 2 divisors, whose sum is σ = 1033101414. Its totient is φ = 1033101412.

The previous prime is 1033101403. The next prime is 1033101431. The reversal of 1033101413 is 3141013301.

Together with next prime (1033101431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 908600449 + 124500964 = 30143^2 + 11158^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033101413 - 222 = 1028907109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033101391 and 1033101400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1033101403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516550706 + 516550707.

It is an arithmetic number, because the mean of its divisors is an integer number (516550707).

Almost surely, 21033101413 is an apocalyptic number.

It is an amenable number.

1033101413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033101413 is an equidigital number, since it uses as much as digits as its factorization.

1033101413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1033101413 is about 32141.8949814724. The cubic root of 1033101413 is about 1010.9142501063.

Adding to 1033101413 its reverse (3141013301), we get a palindrome (4174114714).

The spelling of 1033101413 in words is "one billion, thirty-three million, one hundred one thousand, four hundred thirteen".