Search a number
-
+
13223020122 = 2341318113467
BaseRepresentation
bin11000101000010011…
…10100011001011010
31021010112110000120000
430110021310121122
5204040043120442
610024035113430
7645451550034
oct142411643132
937115400500
1013223020122
115676060804
122690442876
131329658c80
148d6220c54
15525d06d4c
hex31427465a

13223020122 has 80 divisors (see below), whose sum is σ = 31935369312. Its totient is φ = 4065202080.

The previous prime is 13223020093. The next prime is 13223020123. The reversal of 13223020122 is 22102032231.

It is a super-2 number, since 2×132230201222 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13223020095 and 13223020104.

It is not an unprimeable number, because it can be changed into a prime (13223020123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3812233 + ... + 3815699.

Almost surely, 213223020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15967684656).

13223020122 is an abundant number, since it is smaller than the sum of its proper divisors (18712349190).

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

13223020122 is a wasteful number, since it uses less digits than its factorization.

13223020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5305 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13223020122 its reverse (22102032231), we get a palindrome (35325052353).

The spelling of 13223020122 in words is "thirteen billion, two hundred twenty-three million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 1811 2106 3467 3622 5433 6934 10401 10866 16299 20802 23543 31203 32598 45071 47086 48897 62406 70629 90142 93609 97794 135213 141258 146691 187218 211887 270426 280827 293382 405639 423774 561654 635661 811278 1216917 1271322 1906983 2433834 3650751 3813966 6278737 7301502 12557474 18836211 37672422 56508633 81623581 113017266 163247162 169525899 244870743 339051798 489741486 508577697 734612229 1017155394 1469224458 2203836687 4407673374 6611510061 13223020122