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10310003311001 is a prime number
BaseRepresentation
bin1001011000000111110000…
…0101011100000110011001
31100111121220212011010112112
42112001330011130012121
52322404341321423001
633532203343522105
72112605331121652
oct226017405340631
940447825133475
1010310003311001
1133154a20a6999
1211a61932b9335
1359a2c9563664
14279014a16529
1512d2c0915cbb
hex9607c15c199

10310003311001 has 2 divisors, whose sum is σ = 10310003311002. Its totient is φ = 10310003311000.

The previous prime is 10310003310989. The next prime is 10310003311019. The reversal of 10310003311001 is 10011330001301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9388065360025 + 921937950976 = 3063995^2 + 960176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10310003311001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10310003311021) 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, 5155001655500 + 5155001655501.

It is an arithmetic number, because the mean of its divisors is an integer number (5155001655501).

Almost surely, 210310003311001 is an apocalyptic number.

It is an amenable number.

10310003311001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10310003311001 is an equidigital number, since it uses as much as digits as its factorization.

10310003311001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10310003311001 its reverse (10011330001301), we get a palindrome (20321333312302).

The spelling of 10310003311001 in words is "ten trillion, three hundred ten billion, three million, three hundred eleven thousand, one".