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1023313321 is a prime number
BaseRepresentation
bin111100111111101…
…000010110101001
32122022112200222101
4330333220112221
54043432011241
6245313053401
734234006522
oct7477502651
92568480871
101023313321
114856a7498
12246857261
13134010754
1499c99849
155ec88e31
hex3cfe85a9

1023313321 has 2 divisors, whose sum is σ = 1023313322. Its totient is φ = 1023313320.

The previous prime is 1023313303. The next prime is 1023313349. The reversal of 1023313321 is 1233133201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 594823321 + 428490000 = 24389^2 + 20700^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1023313321 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023313121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511656660 + 511656661.

It is an arithmetic number, because the mean of its divisors is an integer number (511656661).

Almost surely, 21023313321 is an apocalyptic number.

It is an amenable number.

1023313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023313321 is an equidigital number, since it uses as much as digits as its factorization.

1023313321 is an evil number, because the sum of its binary digits is even.

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

The square root of 1023313321 is about 31989.2688412849. The cubic root of 1023313321 is about 1007.7114871068.

Adding to 1023313321 its reverse (1233133201), we get a palindrome (2256446522).

The spelling of 1023313321 in words is "one billion, twenty-three million, three hundred thirteen thousand, three hundred twenty-one".