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1023310993 is a prime number
BaseRepresentation
bin111100111111100…
…111110010010001
32122022112120210011
4330333213302101
54043431422433
6245313034521
734233666655
oct7477476221
92568476704
101023310993
114856a5771
12246855a41
1313400c683
1499c98a65
155ec883cd
hex3cfe7c91

1023310993 has 2 divisors, whose sum is σ = 1023310994. Its totient is φ = 1023310992.

The previous prime is 1023310933. The next prime is 1023311011. The reversal of 1023310993 is 3990133201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 761097744 + 262213249 = 27588^2 + 16193^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023310993 - 229 = 486440081 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023310933) 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, 511655496 + 511655497.

It is an arithmetic number, because the mean of its divisors is an integer number (511655497).

Almost surely, 21023310993 is an apocalyptic number.

It is an amenable number.

1023310993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023310993 is an equidigital number, since it uses as much as digits as its factorization.

1023310993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 1023310993 is about 31989.2324540618. The cubic root of 1023310993 is about 1007.7107229375.

The spelling of 1023310993 in words is "one billion, twenty-three million, three hundred ten thousand, nine hundred ninety-three".