Search a number
-
+
110100002093 is a prime number
BaseRepresentation
bin110011010001001111…
…0001011010100101101
3101112012001120121110022
41212202132023110231
53300441100031333
6122325041051525
710645244401514
oct1464236132455
9345161517408
10110100002093
1142769643174
1219408326ba5
13a4c8141643
1454865b567b
152ce5c9cc98
hex19a278b52d

110100002093 has 2 divisors, whose sum is σ = 110100002094. Its totient is φ = 110100002092.

The previous prime is 110100002059. The next prime is 110100002149. The reversal of 110100002093 is 390200001011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102270760804 + 7829241289 = 319798^2 + 88483^2 .

It is an emirp because it is prime and its reverse (390200001011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110100002093 - 218 = 110099739949 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 (110100002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050001046 + 55050001047.

It is an arithmetic number, because the mean of its divisors is an integer number (55050001047).

Almost surely, 2110100002093 is an apocalyptic number.

It is an amenable number.

110100002093 is a deficient number, since it is larger than the sum of its proper divisors (1).

110100002093 is an equidigital number, since it uses as much as digits as its factorization.

110100002093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The spelling of 110100002093 in words is "one hundred ten billion, one hundred million, two thousand, ninety-three".