Search a number
-
+
110202221313 = 3229422230733
BaseRepresentation
bin110011010100010010…
…0000111001100000001
3101112110011220212212100
41212220210013030001
53301143232040223
6122343132021013
710650625265652
oct1465044071401
9345404825770
10110202221313
114281130aa68
1219436601769
13a5133812a2
145495dc3529
152ceec40043
hex19a8907301

110202221313 has 12 divisors (see below), whose sum is σ = 164669986260. Its totient is φ = 70934762976.

The previous prime is 110202221293. The next prime is 110202221323. The reversal of 110202221313 is 313122202011.

110202221313 is a `hidden beast` number, since 110 + 20 + 2 + 221 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25571847744 + 84630373569 = 159912^2 + 290913^2 .

It is not a de Polignac number, because 110202221313 - 29 = 110202220801 is a prime.

It is a super-3 number, since 3×1102022213133 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110202221323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211115106 + ... + 211115627.

It is an arithmetic number, because the mean of its divisors is an integer number (13722498855).

Almost surely, 2110202221313 is an apocalyptic number.

It is an amenable number.

110202221313 is a deficient number, since it is larger than the sum of its proper divisors (54467764947).

110202221313 is a wasteful number, since it uses less digits than its factorization.

110202221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422230768 (or 422230765 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110202221313 its reverse (313122202011), we get a palindrome (423324423324).

The spelling of 110202221313 in words is "one hundred ten billion, two hundred two million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 9 29 87 261 422230733 1266692199 3800076597 12244691257 36734073771 110202221313