Search a number
-
+
110122100273 is a prime number
BaseRepresentation
bin110011010001111001…
…0011110011000110001
3101112020121011022110102
41212203302132120301
53301012224202043
6122331150442145
710645633256633
oct1464362363061
9345217138412
10110122100273
1142780066929
1219413803355
13a4cc8aaaa3
1454894c8a53
152ce7bb56b8
hex19a3c9e631

110122100273 has 2 divisors, whose sum is σ = 110122100274. Its totient is φ = 110122100272.

The previous prime is 110122100213. The next prime is 110122100299. The reversal of 110122100273 is 372001221011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65519617024 + 44602483249 = 255968^2 + 211193^2 .

It is a cyclic number.

It is not a de Polignac number, because 110122100273 - 214 = 110122083889 is a prime.

It is not a weakly prime, because it can be changed into another prime (110122100213) 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, 55061050136 + 55061050137.

It is an arithmetic number, because the mean of its divisors is an integer number (55061050137).

Almost surely, 2110122100273 is an apocalyptic number.

It is an amenable number.

110122100273 is a deficient number, since it is larger than the sum of its proper divisors (1).

110122100273 is an equidigital number, since it uses as much as digits as its factorization.

110122100273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 110122100273 its reverse (372001221011), we get a palindrome (482123321284).

The spelling of 110122100273 in words is "one hundred ten billion, one hundred twenty-two million, one hundred thousand, two hundred seventy-three".