Search a number
-
+
10304420412300 = 22352727077181219
BaseRepresentation
bin1001010111110010111101…
…0100010111101110001100
31100111002111202221111021120
42111330233110113232030
52322311423111143200
633525441351000540
72112320100222240
oct225745724275614
940432452844246
1010304420412300
113313097761523
1211a5095669150
13599919a160c1
14278a45380420
1512d09571d9a0
hex95f2f517b8c

10304420412300 has 144 divisors (see below), whose sum is σ = 34074729911040. Its totient is φ = 2355196112640.

The previous prime is 10304420412283. The next prime is 10304420412343. The reversal of 10304420412300 is 321402440301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56771091 + ... + 56952309.

Almost surely, 210304420412300 is an apocalyptic number.

10304420412300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10304420412300 is an abundant number, since it is smaller than the sum of its proper divisors (23770309498740).

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

10304420412300 is a wasteful number, since it uses less digits than its factorization.

10304420412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208320 (or 208313 counting only the distinct ones).

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

Adding to 10304420412300 its reverse (321402440301), we get a palindrome (10625822852601).

The spelling of 10304420412300 in words is "ten trillion, three hundred four billion, four hundred twenty million, four hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 27077 54154 81231 108308 135385 162462 181219 189539 270770 324924 362438 379078 406155 541540 543657 568617 676925 724876 758156 812310 906095 947695 1087314 1137234 1268533 1353850 1624620 1812190 1895390 2030775 2174628 2274468 2537066 2707700 2718285 2843085 3624380 3790780 3805599 4061550 4530475 4738475 5074132 5436570 5686170 6342665 7611198 8123100 9060950 9476950 10873140 11372340 12685330 13591425 14215425 15222396 18121900 18953900 19027995 25370660 27182850 28430850 31713325 38055990 54365700 56861700 63426650 76111980 95139975 126853300 190279950 380559900 4906866863 9813733726 14720600589 19627467452 24534334315 29441201178 34348068041 49068668630 58882402356 68696136082 73603002945 98137337260 103044204123 122671671575 137392272164 147206005890 171740340205 206088408246 245343343150 294412011780 343480680410 368015014725 412176816492 490686686300 515221020615 686961360820 736030029450 858701701025 1030442041230 1472060058900 1717403402050 2060884082460 2576105103075 3434806804100 5152210206150 10304420412300