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11230231200 = 2535219246277
BaseRepresentation
bin10100111010101111…
…11011101010100000
31001222122122212001220
422131113323222200
5140444414344300
65054210455040
7545203250556
oct123527735240
931878585056
1011230231200
114843199a11
122214b94480
13109c837c26
147876c1bd6
1545adbada0
hex29d5fbaa0

11230231200 has 144 divisors (see below), whose sum is σ = 38478474720. Its totient is φ = 2837099520.

The previous prime is 11230231193. The next prime is 11230231247. The reversal of 11230231200 is 213203211.

It is a super-2 number, since 2×112302312002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11230231200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77539 + ... + 168738.

It is an arithmetic number, because the mean of its divisors is an integer number (267211630).

Almost surely, 211230231200 is an apocalyptic number.

11230231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11230231200 is an abundant number, since it is smaller than the sum of its proper divisors (27248243520).

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

11230231200 is a wasteful number, since it uses less digits than its factorization.

11230231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246319 (or 246306 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11230231200 its reverse (213203211), we get a palindrome (11443434411).

The spelling of 11230231200 in words is "eleven billion, two hundred thirty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 760 800 912 950 1140 1200 1425 1520 1824 1900 2280 2400 2850 3040 3800 4560 5700 7600 9120 11400 15200 22800 45600 246277 492554 738831 985108 1231385 1477662 1970216 2462770 2955324 3694155 3940432 4679263 4925540 5910648 6156925 7388310 7880864 9358526 9851080 11821296 12313850 14037789 14776620 18470775 18717052 19702160 23396315 23642592 24627700 28075578 29553240 36941550 37434104 39404320 46792630 49255400 56151156 59106480 70188945 73883100 74868208 93585260 98510800 112302312 116981575 118212960 140377890 147766200 149736416 187170520 197021600 224604624 233963150 280755780 295532400 350944725 374341040 449209248 467926300 561511560 591064800 701889450 748682080 935852600 1123023120 1403778900 1871705200 2246046240 2807557800 3743410400 5615115600 11230231200