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323313100993 is a prime number
BaseRepresentation
bin1001011010001101111…
…01100110100011000001
31010220112020122021011001
410231012331212203001
520244121123212433
6404310013452001
732234000004661
oct4550675464301
91126466567131
10323313100993
111151308a9113
12527b0aa1001
1324646a24a1c
14119114541a1
15862421957d
hex4b46f668c1

323313100993 has 2 divisors, whose sum is σ = 323313100994. Its totient is φ = 323313100992.

The previous prime is 323313100973. The next prime is 323313101039. The reversal of 323313100993 is 399001313323.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307368230464 + 15944870529 = 554408^2 + 126273^2 .

It is a cyclic number.

It is not a de Polignac number, because 323313100993 - 213 = 323313092801 is a prime.

It is a super-2 number, since 2×3233131009932 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (323313100963) 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, 161656550496 + 161656550497.

It is an arithmetic number, because the mean of its divisors is an integer number (161656550497).

Almost surely, 2323313100993 is an apocalyptic number.

It is an amenable number.

323313100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

323313100993 is an equidigital number, since it uses as much as digits as its factorization.

323313100993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 37.

The spelling of 323313100993 in words is "three hundred twenty-three billion, three hundred thirteen million, one hundred thousand, nine hundred ninety-three".