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1023030413 is a prime number
BaseRepresentation
bin111100111110100…
…011010010001101
32122022000022220022
4330332203102031
54043343433123
6245303031525
734231420646
oct7476432215
92568008808
101023030413
11485523989
1224673b5a5
13133c41a52
1499c246cd
155ec301c8
hex3cfa348d

1023030413 has 2 divisors, whose sum is σ = 1023030414. Its totient is φ = 1023030412.

The previous prime is 1023030397. The next prime is 1023030431. The reversal of 1023030413 is 3140303201.

It is a happy number.

Together with next prime (1023030431) 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., 805821769 + 217208644 = 28387^2 + 14738^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023030413 - 24 = 1023030397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023030391 and 1023030400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023030443) 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, 511515206 + 511515207.

It is an arithmetic number, because the mean of its divisors is an integer number (511515207).

Almost surely, 21023030413 is an apocalyptic number.

It is an amenable number.

1023030413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023030413 is an equidigital number, since it uses as much as digits as its factorization.

1023030413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1023030413 is about 31984.8466152333. The cubic root of 1023030413 is about 1007.6186136562.

Adding to 1023030413 its reverse (3140303201), we get a palindrome (4163333614).

The spelling of 1023030413 in words is "one billion, twenty-three million, thirty thousand, four hundred thirteen".