Search a number
-
+
10343304203100 = 223521114741212627
BaseRepresentation
bin1001011010000011110011…
…1110010000101101011100
31100121210212122122201121120
42112200330332100231130
52323431041333444400
633555352013330540
72115164502046641
oct226407476205534
940553778581546
1010343304203100
113328630634020
1211b0727796a50
135a04a5760b3b
1427a8935cddc8
1512e0be21bca0
hex9683cf90b5c

10343304203100 has 144 divisors (see below), whose sum is σ = 32649597542016. Its totient is φ = 2507285792000.

The previous prime is 10343304203093. The next prime is 10343304203143. The reversal of 10343304203100 is 130240334301.

10343304203100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103433042031002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 48538987 + ... + 48751613.

It is an arithmetic number, because the mean of its divisors is an integer number (226733316264).

Almost surely, 210343304203100 is an apocalyptic number.

10343304203100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10343304203100 is an abundant number, since it is smaller than the sum of its proper divisors (22306293338916).

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

10343304203100 is a wasteful number, since it uses less digits than its factorization.

10343304203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227396 (or 227389 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10343304203100 its reverse (130240334301), we get a palindrome (10473544537401).

The spelling of 10343304203100 in words is "ten trillion, three hundred forty-three billion, three hundred four million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 14741 29482 44223 58964 73705 88446 147410 162151 176892 212627 221115 294820 324302 368525 425254 442230 486453 637881 648604 737050 810755 850508 884460 972906 1063135 1105575 1275762 1474100 1621510 1945812 2126270 2211150 2338897 2432265 2551524 3189405 3243020 4053775 4252540 4422300 4677794 4864530 5315675 6378810 7016691 8107550 9355588 9729060 10631350 11694485 12161325 12757620 14033382 15947025 16215100 21262700 23388970 24322650 28066764 31894050 35083455 46777940 48645300 58472425 63788100 70166910 116944850 140333820 175417275 233889700 350834550 701669100 3134334607 6268669214 9403003821 12537338428 15671673035 18806007642 31343346070 34477680677 37612015284 47015019105 62686692140 68955361354 78358365175 94030038210 103433042031 137910722708 156716730350 172388403385 188060076420 206866084062 235075095525 313433460700 344776806770 413732168124 470150191050 517165210155 689553613540 861942016925 940300382100 1034330420310 1723884033850 2068660840620 2585826050775 3447768067700 5171652101550 10343304203100