Search a number
-
+
12022230300 = 2235256970429
BaseRepresentation
bin10110011001001010…
…01010110100011100
31011000211221120120220
423030211022310130
5144110142332200
65304542041340
7603631162053
oct131445126434
934024846526
1012022230300
11510a265623
1223b6279250
131197949152
1482096739a
154a56b24a0
hex2cc94ad1c

12022230300 has 72 divisors (see below), whose sum is σ = 34845946800. Its totient is φ = 3200248320.

The previous prime is 12022230247. The next prime is 12022230313. The reversal of 12022230300 is 303222021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12022230300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135486 + ... + 205914.

Almost surely, 212022230300 is an apocalyptic number.

12022230300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17422973400).

12022230300 is an abundant number, since it is smaller than the sum of its proper divisors (22823716500).

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

12022230300 is a wasteful number, since it uses less digits than its factorization.

12022230300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71015 (or 71008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 12022230300 its reverse (303222021), we get a palindrome (12325452321).

The spelling of 12022230300 in words is "twelve billion, twenty-two million, two hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 569 1138 1707 2276 2845 3414 5690 6828 8535 11380 14225 17070 28450 34140 42675 56900 70429 85350 140858 170700 211287 281716 352145 422574 704290 845148 1056435 1408580 1760725 2112870 3521450 4225740 5282175 7042900 10564350 21128700 40074101 80148202 120222303 160296404 200370505 240444606 400741010 480889212 601111515 801482020 1001852525 1202223030 2003705050 2404446060 3005557575 4007410100 6011115150 12022230300