Search a number
-
+
110311220093 is a prime number
BaseRepresentation
bin110011010111100001…
…1111010001101111101
3101112201210000121002012
41212233003322031331
53301404133020333
6122402024141005
710653420620444
oct1465703721575
9345653017065
10110311220093
11428678983a8
1219467007765
13a52cb259c9
1454a6677d5b
152d095c0e48
hex19af0fa37d

110311220093 has 2 divisors, whose sum is σ = 110311220094. Its totient is φ = 110311220092.

The previous prime is 110311220039. The next prime is 110311220113. The reversal of 110311220093 is 390022113011.

Together with previous prime (110311220039) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93524649124 + 16786570969 = 305818^2 + 129563^2 .

It is an emirp because it is prime and its reverse (390022113011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110311220093 - 212 = 110311215997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110311220693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55155610046 + 55155610047.

It is an arithmetic number, because the mean of its divisors is an integer number (55155610047).

Almost surely, 2110311220093 is an apocalyptic number.

It is an amenable number.

110311220093 is a deficient number, since it is larger than the sum of its proper divisors (1).

110311220093 is an equidigital number, since it uses as much as digits as its factorization.

110311220093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 110311220093 in words is "one hundred ten billion, three hundred eleven million, two hundred twenty thousand, ninety-three".