Search a number
-
+
1032303020813 is a prime number
BaseRepresentation
bin11110000010110100000…
…11100000101100001101
310122200112222020220111022
433001122003200230031
5113403124033131223
62110122232203525
7134403300620201
oct17013203405415
93580488226438
101032303020813
11368885163609
121480982395a5
1376465822a3c
1437d6c6a8b01
151bcbc65bac8
hexf05a0e0b0d

1032303020813 has 2 divisors, whose sum is σ = 1032303020814. Its totient is φ = 1032303020812.

The previous prime is 1032303020807. The next prime is 1032303020831. The reversal of 1032303020813 is 3180203032301.

Together with next prime (1032303020831) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 874969418404 + 157333602409 = 935398^2 + 396653^2 .

It is a cyclic number.

It is not a de Polignac number, because 1032303020813 - 24 = 1032303020797 is a prime.

It is a super-2 number, since 2×10323030208132 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1032303020863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516151510406 + 516151510407.

It is an arithmetic number, because the mean of its divisors is an integer number (516151510407).

Almost surely, 21032303020813 is an apocalyptic number.

It is an amenable number.

1032303020813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1032303020813 is an equidigital number, since it uses as much as digits as its factorization.

1032303020813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 1032303020813 in words is "one trillion, thirty-two billion, three hundred three million, twenty thousand, eight hundred thirteen".