Search a number
-
+
10432112034300 = 22352113785439083
BaseRepresentation
bin1001011111001110101001…
…0101010000000111111100
31100221022002211020222120220
42113303222111100013330
52331404431140044200
634104240205341340
72124460314132465
oct227635225200774
940838084228526
1010432112034300
113362263308040
121205991267850
135a89895a1298
14280cba039d6c
1513156aaa84a0
hex97cea5501fc

10432112034300 has 144 divisors (see below), whose sum is σ = 33817472959872. Its totient is φ = 2460645561600.

The previous prime is 10432112034259. The next prime is 10432112034313. The reversal of 10432112034300 is 343021123401.

It is a happy number.

It is a super-2 number, since 2×104321120343002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 42597442 + ... + 42841641.

Almost surely, 210432112034300 is an apocalyptic number.

10432112034300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432112034300 is an abundant number, since it is smaller than the sum of its proper divisors (23385360925572).

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

10432112034300 is a wasteful number, since it uses less digits than its factorization.

10432112034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85439148 (or 85439141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10432112034300 its reverse (343021123401), we get a palindrome (10775133157701).

The spelling of 10432112034300 in words is "ten trillion, four hundred thirty-two billion, one hundred twelve million, thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 85439083 170878166 256317249 341756332 427195415 512634498 854390830 939829913 1025268996 1281586245 1708781660 1879659826 2135977075 2563172490 2819489739 3161246071 3759319652 4271954150 4699149565 5126344980 5638979478 6322492142 6407931225 8543908300 9398299130 9483738213 11277958956 12644984284 12815862450 14097448695 15806230355 18796598260 18967476426 23495747825 25631724900 28194897390 31612460710 34773706781 37934952852 46991495650 47418691065 56389794780 63224921420 69547413562 70487243475 79031151775 93982991300 94837382130 104321120343 139094827124 140974486950 158062303550 173868533905 189674764260 208642240686 237093455325 281948973900 316124607100 347737067810 417284481372 474186910650 521605601715 695474135620 869342669525 948373821300 1043211203430 1738685339050 2086422406860 2608028008575 3477370678100 5216056017150 10432112034300