Search a number
-
+
10032111120000 = 2735441800463
BaseRepresentation
bin1001000111111100100001…
…1010110110111010000000
31022112001122001222011102010
42101333020122312322000
52303331230421320000
633200404353452520
72053540031353044
oct221771032667200
938461561864363
1010032111120000
11321865a210822
121160359871140
1357a040a02a48
142697b1aba024
15125e5907dd50
hex91fc86b6e80

10032111120000 has 160 divisors (see below), whose sum is σ = 33299085631680. Its totient is φ = 2675229568000.

The previous prime is 10032111119969. The next prime is 10032111120041. The reversal of 10032111120000 is 2111123001.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20660232 + ... + 21140231.

It is an arithmetic number, because the mean of its divisors is an integer number (208119285198).

Almost surely, 210032111120000 is an apocalyptic number.

10032111120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032111120000 is an abundant number, since it is smaller than the sum of its proper divisors (23266974511680).

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

10032111120000 is an frugal number, since it uses more digits than its factorization.

10032111120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41800500 (or 41800473 counting only the distinct ones).

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

Adding to 10032111120000 its reverse (2111123001), we get a palindrome (10034222243001).

The spelling of 10032111120000 in words is "ten trillion, thirty-two billion, one hundred eleven million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 41800463 83600926 125401389 167201852 209002315 250802778 334403704 418004630 501605556 627006945 668807408 836009260 1003211112 1045011575 1254013890 1337614816 1672018520 2006422224 2090023150 2508027780 2675229632 3135034725 3344037040 4012844448 4180046300 5016055560 5225057875 5350459264 6270069450 6688074080 8025688896 8360092600 10032111120 10450115750 12540138900 13376148160 15675173625 16051377792 16720185200 20064222240 20900231500 25080277800 26125289375 26752296320 31350347250 33440370400 40128444480 41800463000 50160555600 52250578750 62700694500 66880740800 78375868125 80256888960 83600926000 100321111200 104501157500 125401389000 133761481600 156751736250 167201852000 200642222400 209002315000 250802778000 313503472500 334403704000 401284444800 418004630000 501605556000 627006945000 668807408000 836009260000 1003211112000 1254013890000 1672018520000 2006422224000 2508027780000 3344037040000 5016055560000 10032111120000