Search a number
-
+
1100323103329 is a prime number
BaseRepresentation
bin10000000000110000010…
…111100010001001100001
310220012010102001010011201
4100000300113202021201
5121011430203301304
62201251554441201
7142332014026522
oct20006027421141
93805112033151
101100323103329
1139470a78533a
121592bbb93201
137c9b5a04b88
143b382372849
151d94e0253a4
hex100305e2261

1100323103329 has 2 divisors, whose sum is σ = 1100323103330. Its totient is φ = 1100323103328.

The previous prime is 1100323103309. The next prime is 1100323103389. The reversal of 1100323103329 is 9233013230011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1055700765729 + 44622337600 = 1027473^2 + 211240^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1100323103329 is a prime.

It is a super-2 number, since 2×11003231033292 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100323103297 and 1100323103306.

It is not a weakly prime, because it can be changed into another prime (1100323103309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550161551664 + 550161551665.

It is an arithmetic number, because the mean of its divisors is an integer number (550161551665).

Almost surely, 21100323103329 is an apocalyptic number.

It is an amenable number.

1100323103329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100323103329 is an equidigital number, since it uses as much as digits as its factorization.

1100323103329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 1100323103329 in words is "one trillion, one hundred billion, three hundred twenty-three million, one hundred three thousand, three hundred twenty-nine".