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2003100313217 is a prime number
BaseRepresentation
bin11101001001100010000…
…101010010011010000001
321002111100111122002011112
4131021202011102122001
5230304322140010332
64132113411253105
7264501456506063
oct35114205223201
97074314562145
102003100313217
117025679a7013
1228426a2aa195
13116b7896bb33
146cd44529733
153718a288db2
hex1d262152681

2003100313217 has 2 divisors, whose sum is σ = 2003100313218. Its totient is φ = 2003100313216.

The previous prime is 2003100313177. The next prime is 2003100313219. The reversal of 2003100313217 is 7123130013002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1588101519601 + 414998793616 = 1260199^2 + 644204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2003100313217 is a prime.

Together with 2003100313219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003100313192 and 2003100313201.

It is not a weakly prime, because it can be changed into another prime (2003100313219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001550156608 + 1001550156609.

It is an arithmetic number, because the mean of its divisors is an integer number (1001550156609).

Almost surely, 22003100313217 is an apocalyptic number.

It is an amenable number.

2003100313217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003100313217 is an equidigital number, since it uses as much as digits as its factorization.

2003100313217 is an evil number, because the sum of its binary digits is even.

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

Adding to 2003100313217 its reverse (7123130013002), we get a palindrome (9126230326219).

The spelling of 2003100313217 in words is "two trillion, three billion, one hundred million, three hundred thirteen thousand, two hundred seventeen".