Search a number
-
+
103100332120200 = 233252190313009719
BaseRepresentation
bin10111011100010011101010…
…101011000001100010001000
3111112001021222102011121020200
4113130103222223001202020
5102003143440010321300
61003135345543452200
730500516225303322
oct2734235253014210
9445037872147220
10103100332120200
112a93a672730858
12b691650757060
13456b42021b3bc
141b66122d00612
15bdbd224a4200
hex5dc4eaac1888

103100332120200 has 144 divisors (see below), whose sum is σ = 346263590836800. Its totient is φ = 27491968099200.

The previous prime is 103100332120199. The next prime is 103100332120223. The reversal of 103100332120200 is 2021233001301.

103100332120200 is a `hidden beast` number, since 1 + 0 + 3 + 10 + 0 + 332 + 120 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32750941 + ... + 35760659.

It is an arithmetic number, because the mean of its divisors is an integer number (2404608269700).

Almost surely, 2103100332120200 is an apocalyptic number.

103100332120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103100332120200 is an abundant number, since it is smaller than the sum of its proper divisors (243163258716600).

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

103100332120200 is a wasteful number, since it uses less digits than its factorization.

103100332120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028772 (or 3028760 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103100332120200 its reverse (2021233001301), we get a palindrome (105121565121501).

The spelling of 103100332120200 in words is "one hundred three trillion, one hundred billion, three hundred thirty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 19031 38062 57093 76124 95155 114186 152248 171279 190310 228372 285465 342558 380620 456744 475775 570930 685116 761240 856395 951550 1141860 1370232 1427325 1712790 1903100 2283720 2854650 3009719 3425580 3806200 4281975 5709300 6019438 6851160 8563950 9029157 11418600 12038876 15048595 17127900 18058314 24077752 27087471 30097190 34255800 36116628 45145785 54174942 60194380 72233256 75242975 90291570 108349884 120388760 135437355 150485950 180583140 216699768 225728925 270874710 300971900 361166280 451457850 541749420 601943800 677186775 902915700 1083498840 1354373550 1805831400 2708747100 5417494200 57277962289 114555924578 171833886867 229111849156 286389811445 343667773734 458223698312 515501660601 572779622890 687335547468 859169434335 1031003321202 1145559245780 1374671094936 1431949057225 1718338868670 2062006642404 2291118491560 2577508303005 2863898114450 3436677737340 4124013284808 4295847171675 5155016606010 5727796228900 6873355474680 8591694343350 10310033212020 11455592457800 12887541515025 17183388686700 20620066424040 25775083030050 34366777373400 51550166060100 103100332120200