Search a number
-
+
12102200022 = 2311310913903
BaseRepresentation
bin10110100010101100…
…01110101011010110
31011020102102110102110
423101112032223112
5144241130400042
65320520051450
7605622000663
oct132126165326
934212373373
1012102200022
115150416000
122419003b86
1311ab398803
1482b422a6a
154ac70c09c
hex2d158ead6

12102200022 has 64 divisors (see below), whose sum is σ = 26869201920. Its totient is φ = 3633426720.

The previous prime is 12102200009. The next prime is 12102200027. The reversal of 12102200022 is 22000220121.

It is a junction number, because it is equal to n+sod(n) for n = 12102199980 and 12102200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102200027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863523 + ... + 877425.

It is an arithmetic number, because the mean of its divisors is an integer number (419831280).

Almost surely, 212102200022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102200022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13434600960).

12102200022 is an abundant number, since it is smaller than the sum of its proper divisors (14767001898).

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

12102200022 is a wasteful number, since it uses less digits than its factorization.

12102200022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14050 (or 14028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12102200022 its reverse (22000220121), we get a palindrome (34102420143).

The spelling of 12102200022 in words is "twelve billion, one hundred two million, two hundred thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 109 121 218 242 327 363 654 726 1199 1331 2398 2662 3597 3993 7194 7986 13189 13903 26378 27806 39567 41709 79134 83418 145079 152933 290158 305866 435237 458799 870474 917598 1515427 1682263 3030854 3364526 4546281 5046789 9092562 10093578 16669697 18504893 33339394 37009786 50009091 55514679 100018182 111029358 183366667 366733334 550100001 1100200002 2017033337 4034066674 6051100011 12102200022