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1023321317 is a prime number
BaseRepresentation
bin111100111111101…
…010010011100101
32122022120002221112
4330333222103211
54043432240232
6245313154405
734234042034
oct7477522345
92568502845
101023321317
114857024a7
1224685ba05
13134014295
1499c9c71b
155ec8b4b2
hex3cfea4e5

1023321317 has 2 divisors, whose sum is σ = 1023321318. Its totient is φ = 1023321316.

The previous prime is 1023321301. The next prime is 1023321349. The reversal of 1023321317 is 7131233201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 838334116 + 184987201 = 28954^2 + 13601^2 .

It is an emirp because it is prime and its reverse (7131233201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1023321317 - 24 = 1023321301 is a prime.

It is a super-2 number, since 2×10233213172 = 2094373035653228978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023321292 and 1023321301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023321017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511660658 + 511660659.

It is an arithmetic number, because the mean of its divisors is an integer number (511660659).

Almost surely, 21023321317 is an apocalyptic number.

It is an amenable number.

1023321317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023321317 is an equidigital number, since it uses as much as digits as its factorization.

1023321317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 1023321317 is about 31989.3938204524. The cubic root of 1023321317 is about 1007.7141117966.

Adding to 1023321317 its reverse (7131233201), we get a palindrome (8154554518).

The spelling of 1023321317 in words is "one billion, twenty-three million, three hundred twenty-one thousand, three hundred seventeen".