Search a number
-
+
12223102223313 = 321358122469257
BaseRepresentation
bin1011000111011110100110…
…1010101000001111010001
31121021111222000021022220100
42301313221222220033101
53100230403132121223
641555114325003013
72401042603431162
oct261675152501721
947244860238810
1012223102223313
113992874605343
121454b04253469
136a883100c687
1430385bd9b769
15162e3e648043
hexb1de9aa83d1

12223102223313 has 6 divisors (see below), whose sum is σ = 17655592100354. Its totient is φ = 8148734815536.

The previous prime is 12223102223243. The next prime is 12223102223333. The reversal of 12223102223313 is 31332220132221.

12223102223313 is a `hidden beast` number, since 1 + 2 + 2 + 23 + 102 + 223 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8612387787969 + 3610714435344 = 2934687^2 + 1900188^2 .

It is not a de Polignac number, because 12223102223313 - 212 = 12223102219217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12223102223333) 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 in 5 ways as a sum of consecutive naturals, for example, 679061234620 + ... + 679061234637.

Almost surely, 212223102223313 is an apocalyptic number.

It is an amenable number.

12223102223313 is a deficient number, since it is larger than the sum of its proper divisors (5432489877041).

12223102223313 is a wasteful number, since it uses less digits than its factorization.

12223102223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358122469263 (or 1358122469260 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12223102223313 its reverse (31332220132221), we get a palindrome (43555322355534).

The spelling of 12223102223313 in words is "twelve trillion, two hundred twenty-three billion, one hundred two million, two hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 1358122469257 4074367407771 12223102223313