Search a number
-
+
12032231132300 = 22521720293488311
BaseRepresentation
bin1010111100010111100011…
…0111001100110010001100
31120121021021212122021022012
42233011320313030302030
53034114002132213200
641331310343040352
72351204622063161
oct257057067146214
946537255567265
1012032231132300
113919927881625
121423b15a400b8
136938330967c2
142d851248a068
1515cebc865a35
hexaf178dccc8c

12032231132300 has 72 divisors (see below), whose sum is σ = 27659453744160. Its totient is φ = 4527547315200.

The previous prime is 12032231132297. The next prime is 12032231132347. The reversal of 12032231132300 is 323113223021.

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 23 ways as a sum of consecutive naturals, for example, 1705145 + ... + 5193455.

It is an arithmetic number, because the mean of its divisors is an integer number (384159079780).

Almost surely, 212032231132300 is an apocalyptic number.

12032231132300 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 12032231132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829726872080).

12032231132300 is an abundant number, since it is smaller than the sum of its proper divisors (15627222611860).

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

12032231132300 is a wasteful number, since it uses less digits than its factorization.

12032231132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490371 (or 3490364 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12032231132300 its reverse (323113223021), we get a palindrome (12355344355321).

The spelling of 12032231132300 in words is "twelve trillion, thirty-two billion, two hundred thirty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 2029 4058 8116 10145 20290 34493 40580 50725 68986 101450 137972 172465 202900 344930 689860 862325 1724650 3449300 3488311 6976622 13953244 17441555 34883110 59301287 69766220 87207775 118602574 174415550 237205148 296506435 348831100 593012870 1186025740 1482532175 2965064350 5930128700 7077783019 14155566038 28311132076 35388915095 70777830190 120322311323 141555660380 176944575475 240644622646 353889150950 481289245292 601611556615 707778301900 1203223113230 2406446226460 3008057783075 6016115566150 12032231132300