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100043134013 is a prime number
BaseRepresentation
bin101110100101100001…
…0010001010000111101
3100120020011210202222202
41131023002101100331
53114342020242023
6113543103321245
710141106415434
oct1351302212075
9316204722882
10100043134013
1139478817349
12174802b0225
139584732924
144bb0a8c11b
152907e0a128
hex174b09143d

100043134013 has 2 divisors, whose sum is σ = 100043134014. Its totient is φ = 100043134012.

The previous prime is 100043133991. The next prime is 100043134039. The reversal of 100043134013 is 310431340001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90287028484 + 9756105529 = 300478^2 + 98773^2 .

It is a cyclic number.

It is not a de Polignac number, because 100043134013 - 210 = 100043132989 is a prime.

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 (100043134613) 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, 50021567006 + 50021567007.

It is an arithmetic number, because the mean of its divisors is an integer number (50021567007).

Almost surely, 2100043134013 is an apocalyptic number.

It is an amenable number.

100043134013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100043134013 is an equidigital number, since it uses as much as digits as its factorization.

100043134013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100043134013 its reverse (310431340001), we get a palindrome (410474474014).

The spelling of 100043134013 in words is "one hundred billion, forty-three million, one hundred thirty-four thousand, thirteen".