Search a number
-
+
12202133424 = 24313127715313
BaseRepresentation
bin10110101110100110…
…11100011110110000
31011111101110121021120
423113103130132300
5144442221232144
65334450022240
7611244265005
oct132723343660
934441417246
1012202133424
1151a1871498
122446577980
1311c5cb7bc0
1483a7d78ac
154b639be19
hex2d74dc7b0

12202133424 has 80 divisors (see below), whose sum is σ = 33975762912. Its totient is φ = 3751317504.

The previous prime is 12202133423. The next prime is 12202133429. The reversal of 12202133424 is 42433120221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12202133394 and 12202133403.

It is not an unprimeable number, because it can be changed into a prime (12202133423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789192 + ... + 804504.

Almost surely, 212202133424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16987881456).

12202133424 is an abundant number, since it is smaller than the sum of its proper divisors (21773629488).

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

12202133424 is a wasteful number, since it uses less digits than its factorization.

12202133424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16614 (or 16608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12202133424 its reverse (42433120221), we get a palindrome (54635253645).

The spelling of 12202133424 in words is "twelve billion, two hundred two million, one hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1277 2554 3831 5108 7662 10216 15313 15324 16601 20432 30626 30648 33202 45939 49803 61252 61296 66404 91878 99606 122504 132808 183756 199069 199212 245008 265616 367512 398138 398424 597207 735024 796276 796848 1194414 1592552 2388828 3185104 4777656 9555312 19554701 39109402 58664103 78218804 117328206 156437608 234656412 254211113 312875216 469312824 508422226 762633339 938625648 1016844452 1525266678 2033688904 3050533356 4067377808 6101066712 12202133424