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1032321313 is a prime number
BaseRepresentation
bin111101100001111…
…111100100100001
32122221111100121201
4331201333210201
54103233240223
6250234121201
734403405062
oct7541774441
92587440551
101032321313
1148a79a311
12249880201
13135b4591a
149b162569
1560967ead
hex3d87f921

1032321313 has 2 divisors, whose sum is σ = 1032321314. Its totient is φ = 1032321312.

The previous prime is 1032321307. The next prime is 1032321371. The reversal of 1032321313 is 3131232301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 566106849 + 466214464 = 23793^2 + 21592^2 .

It is an emirp because it is prime and its reverse (3131232301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1032321313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1032361313) 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, 516160656 + 516160657.

It is an arithmetic number, because the mean of its divisors is an integer number (516160657).

Almost surely, 21032321313 is an apocalyptic number.

It is an amenable number.

1032321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032321313 is an equidigital number, since it uses as much as digits as its factorization.

1032321313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1032321313 is about 32129.7574376154. The cubic root of 1032321313 is about 1010.6597372465.

Adding to 1032321313 its reverse (3131232301), we get a palindrome (4163553614).

The spelling of 1032321313 in words is "one billion, thirty-two million, three hundred twenty-one thousand, three hundred thirteen".