Search a number
-
+
12032243440300 = 2252177638792657
BaseRepresentation
bin1010111100010111100110…
…0110001001101010101100
31120121021022201210120201001
42233011321212021222230
53034114013310042200
641331311502530044
72351205131514436
oct257057146115254
946537281716631
1012032243440300
113919933818826
121423b19b96924
136938357b5a45
142d8513d71656
1515cebd99776a
hexaf179989aac

12032243440300 has 72 divisors (see below), whose sum is σ = 27646509041424. Its totient is φ = 4529677578240.

The previous prime is 12032243440247. The next prime is 12032243440333. The reversal of 12032243440300 is 304434223021.

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, 129811572 + ... + 129904228.

It is an arithmetic number, because the mean of its divisors is an integer number (383979292242).

Almost surely, 212032243440300 is an apocalyptic number.

12032243440300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032243440300 is an abundant number, since it is smaller than the sum of its proper divisors (15614265601124).

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

12032243440300 is a wasteful number, since it uses less digits than its factorization.

12032243440300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169075 (or 169068 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 12032243440300 its reverse (304434223021), we get a palindrome (12336677663321).

The spelling of 12032243440300 in words is "twelve trillion, thirty-two billion, two hundred forty-three million, four hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 76387 92657 152774 185314 305548 370628 381935 463285 763870 926570 1298579 1527740 1575169 1853140 1909675 2316425 2597158 3150338 3819350 4632850 5194316 6300676 6492895 7638700 7875845 9265700 12985790 15751690 25971580 31503380 32464475 39379225 64928950 78758450 129857900 157516900 7077790259 14155580518 28311161036 35388951295 70777902590 120322434403 141555805180 176944756475 240644868806 353889512950 481289737612 601612172015 707779025900 1203224344030 2406448688060 3008060860075 6016121720150 12032243440300