Search a number
-
+
993833000129 is a prime number
BaseRepresentation
bin11100111011001010001…
…00000001110011000001
310112000020221010101001102
432131211010001303001
5112240332222001004
62040321030144145
7131542052055404
oct16354504016301
93460227111042
10993833000129
11353533901692
121407407b2055
137294472b1a8
143615d3a5d3b
151acba14211e
hexe765101cc1

993833000129 has 2 divisors, whose sum is σ = 993833000130. Its totient is φ = 993833000128.

The previous prime is 993833000117. The next prime is 993833000141. The reversal of 993833000129 is 921000338399.

It is a balanced prime because it is at equal distance from previous prime (993833000117) and next prime (993833000141).

It can be written as a sum of positive squares in only one way, i.e., 750428910529 + 243404089600 = 866273^2 + 493360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-993833000129 is a prime.

It is not a weakly prime, because it can be changed into another prime (993833000929) 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, 496916500064 + 496916500065.

It is an arithmetic number, because the mean of its divisors is an integer number (496916500065).

Almost surely, 2993833000129 is an apocalyptic number.

It is an amenable number.

993833000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

993833000129 is an equidigital number, since it uses as much as digits as its factorization.

993833000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 314928, while the sum is 47.

The spelling of 993833000129 in words is "nine hundred ninety-three billion, eight hundred thirty-three million, one hundred twenty-nine", and thus it is an aban number.