Search a number
-
+
11000231101200 = 2435211833350841
BaseRepresentation
bin1010000000010011000011…
…0111100000001100010000
31102221121112000111211120010
42200010300313200030100
52420211433130214300
635221234132514520
72213511660413625
oct240046067401420
942847460454503
1011000231101200
113561198754740
121297b0317ba40
1361a41827a623
142a05b213234c
1514121bb08a50
hexa0130de0310

11000231101200 has 120 divisors (see below), whose sum is σ = 38440807639776. Its totient is φ = 2666722688000.

The previous prime is 11000231101193. The next prime is 11000231101207. The reversal of 11000231101200 is 210113200011.

It is an interprime number because it is at equal distance from previous prime (11000231101193) and next prime (11000231101207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11000231101207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416662221 + ... + 416688620.

Almost surely, 211000231101200 is an apocalyptic number.

11000231101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000231101200 is an abundant number, since it is smaller than the sum of its proper divisors (27440576538576).

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

11000231101200 is a wasteful number, since it uses less digits than its factorization.

11000231101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833350873 (or 833350862 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11000231101200 its reverse (210113200011), we get a palindrome (11210344301211).

The spelling of 11000231101200 in words is "eleven trillion, two hundred thirty-one million, one hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 833350841 1666701682 2500052523 3333403364 4166754205 5000105046 6666806728 8333508410 9166859251 10000210092 12500262615 13333613456 16667016820 18333718502 20000420184 20833771025 25000525230 27500577753 33334033640 36667437004 40000840368 41667542050 45834296255 50001050460 55001155506 62501313075 66668067280 73334874008 83335084100 91668592510 100002100920 110002311012 125002626150 137502888765 146669748016 166670168200 183337185020 200004201840 220004622024 229171481275 250005252300 275005777530 333340336400 366674370040 440009244048 458342962550 500010504600 550011555060 687514443825 733348740080 916685925100 1000021009200 1100023110120 1375028887650 1833371850200 2200046220240 2750057775300 3666743700400 5500115550600 11000231101200