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1003223443457 is a prime number
BaseRepresentation
bin11101001100101001100…
…01101110100000000001
310112220111100220022121202
432212110301232200001
5112414100200142312
62044512520030545
7132323545366244
oct16462461564001
93486440808552
101003223443457
11357512530754
12142521602455
13737b0054c31
14367b05b525b
151b1697459c2
hexe994c6e801

1003223443457 has 2 divisors, whose sum is σ = 1003223443458. Its totient is φ = 1003223443456.

The previous prime is 1003223443429. The next prime is 1003223443459. The reversal of 1003223443457 is 7543443223001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003200556801 + 22886656 = 1001599^2 + 4784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003223443457 is a prime.

It is a super-2 number, since 2×10032234434572 (a number of 25 digits) contains 22 as substring.

Together with 1003223443459, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1003223443457.

It is not a weakly prime, because it can be changed into another prime (1003223443459) 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, 501611721728 + 501611721729.

It is an arithmetic number, because the mean of its divisors is an integer number (501611721729).

Almost surely, 21003223443457 is an apocalyptic number.

It is an amenable number.

1003223443457 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003223443457 is an equidigital number, since it uses as much as digits as its factorization.

1003223443457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 38.

Adding to 1003223443457 its reverse (7543443223001), we get a palindrome (8546666666458).

The spelling of 1003223443457 in words is "one trillion, three billion, two hundred twenty-three million, four hundred forty-three thousand, four hundred fifty-seven".