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100303319993 is a prime number
BaseRepresentation
bin101110101101010001…
…0110011001110111001
3100120220022101121001112
41131122202303032321
53120410122214433
6114025000130105
710150416103232
oct1353242631671
9316808347045
10100303319993
11395a1677988
1217533466935
1395c6600726
144bd745a089
152920ba2348
hex175a8b33b9

100303319993 has 2 divisors, whose sum is σ = 100303319994. Its totient is φ = 100303319992.

The previous prime is 100303319969. The next prime is 100303320067. The reversal of 100303319993 is 399913303001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67367240704 + 32936079289 = 259552^2 + 181483^2 .

It is a cyclic number.

It is not a de Polignac number, because 100303319993 - 226 = 100236211129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100303319993.

It is not a weakly prime, because it can be changed into another prime (100303319923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50151659996 + 50151659997.

It is an arithmetic number, because the mean of its divisors is an integer number (50151659997).

Almost surely, 2100303319993 is an apocalyptic number.

It is an amenable number.

100303319993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303319993 is an equidigital number, since it uses as much as digits as its factorization.

100303319993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 59049, while the sum is 41.

The spelling of 100303319993 in words is "one hundred billion, three hundred three million, three hundred nineteen thousand, nine hundred ninety-three".