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201113455200 = 25352711971039
BaseRepresentation
bin1011101101001101001…
…0111100101001100000
3201020002221110001212220
42323103102330221200
511243340021031300
6232220143151040
720346531110040
oct2732322745140
9636087401786
10201113455200
1178323336609
1232b885a5480
1315c70c012c8
149a3bd23720
1553710b6da0
hex2ed34bca60

201113455200 has 144 divisors (see below), whose sum is σ = 748142115840. Its totient is φ = 45968785920.

The previous prime is 201113455189. The next prime is 201113455219. The reversal of 201113455200 is 2554311102.

It is a happy number.

201113455200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 5968720 + ... + 6002319.

It is an arithmetic number, because the mean of its divisors is an integer number (5195431360).

Almost surely, 2201113455200 is an apocalyptic number.

201113455200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201113455200 is an abundant number, since it is smaller than the sum of its proper divisors (547028660640).

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

201113455200 is a wasteful number, since it uses less digits than its factorization.

201113455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971069 (or 11971056 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 201113455200 its reverse (2554311102), we get a palindrome (203667766302).

The spelling of 201113455200 in words is "two hundred one billion, one hundred thirteen million, four hundred fifty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 11971039 23942078 35913117 47884156 59855195 71826234 83797273 95768312 119710390 143652468 167594546 179565585 191536624 239420780 251391819 287304936 299275975 335189092 359131170 383073248 418986365 478841560 502783638 574609872 598551950 670378184 718262340 837972730 897827925 957683120 1005567276 1149219744 1197103900 1256959095 1340756368 1436524680 1675945460 1795655850 1915366240 2011134552 2094931825 2394207800 2513918190 2681512736 2873049360 3351890920 3591311700 4022269104 4189863650 4788415600 5027836380 5746098720 6284795475 6703781840 7182623400 8044538208 8379727300 9576831200 10055672760 12569590950 13407563680 14365246800 16759454600 20111345520 25139181900 28730493600 33518909200 40222691040 50278363800 67037818400 100556727600 201113455200