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1010003302213 is a prime number
BaseRepresentation
bin11101011001010001110…
…00110101011101000101
310120112222212101211101121
432230220320311131011
5113021441321132323
62051553351553541
7132653552263303
oct16545070653505
93515885354347
101010003302213
1135a381595a04
121438b408b8b1
1374320871089
1436c54bc9273
151b414a77a5d
hexeb28e35745

1010003302213 has 2 divisors, whose sum is σ = 1010003302214. Its totient is φ = 1010003302212.

The previous prime is 1010003302181. The next prime is 1010003302237. The reversal of 1010003302213 is 3122033000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 994473656289 + 15529645924 = 997233^2 + 124618^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010003302213 - 25 = 1010003302181 is a prime.

It is a super-3 number, since 3×10100033022133 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010003302283) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505001651106 + 505001651107.

It is an arithmetic number, because the mean of its divisors is an integer number (505001651107).

Almost surely, 21010003302213 is an apocalyptic number.

It is an amenable number.

1010003302213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010003302213 is an equidigital number, since it uses as much as digits as its factorization.

1010003302213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1010003302213 its reverse (3122033000101), we get a palindrome (4132036302314).

The spelling of 1010003302213 in words is "one trillion, ten billion, three million, three hundred two thousand, two hundred thirteen".