Search a number
-
+
13420310321022 = 23113122415691543
BaseRepresentation
bin1100001101001010100011…
…0101000101011101111110
31202111222011111112002221020
43003102220311011131332
53224334243420233042
644313112213245010
72553404541363333
oct303225065053576
952458144462836
1013420310321022
114304581344970
121608b42933766
137646b7073b97
143457917ac98a
1518415e1983ec
hexc34a8d4577e

13420310321022 has 192 divisors, whose sum is σ = 30454344645120. Its totient is φ = 3909821184000.

The previous prime is 13420310320981. The next prime is 13420310321051. The reversal of 13420310321022 is 22012301302431.

It is a super-2 number, since 2×134203103210222 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13420310320983 and 13420310321001.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8697543183 + ... + 8697544725.

It is an arithmetic number, because the mean of its divisors is an integer number (158616378360).

Almost surely, 213420310321022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13420310321022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15227172322560).

13420310321022 is an abundant number, since it is smaller than the sum of its proper divisors (17034034324098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13420310321022 is a wasteful number, since it uses less digits than its factorization.

13420310321022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13420310321022 its reverse (22012301302431), we get a palindrome (35432611623453).

The spelling of 13420310321022 in words is "thirteen trillion, four hundred twenty billion, three hundred ten million, three hundred twenty-one thousand, twenty-two".