Search a number
-
+
110020100000 = 25551278663
BaseRepresentation
bin110011001110110110…
…1010111111110100000
3101111222111020011101112
41212131231113332200
53300310121200000
6122313104322452
710643254264016
oct1463555277640
9344874204345
10110020100000
1142728529588
12193a5613428
13a4b47169b5
145479b368b6
152cddc68235
hex199db57fa0

110020100000 has 144 divisors (see below), whose sum is σ = 272898533376. Its totient is φ = 43656480000.

The previous prime is 110020099997. The next prime is 110020100027. The reversal of 110020100000 is 1020011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12695669 + ... + 12704331.

It is an arithmetic number, because the mean of its divisors is an integer number (1895128704).

Almost surely, 2110020100000 is an apocalyptic number.

110020100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136449266688).

110020100000 is an abundant number, since it is smaller than the sum of its proper divisors (162878433376).

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

110020100000 is an frugal number, since it uses more digits than its factorization.

110020100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8825 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 110020100000 its reverse (1020011), we get a palindrome (110021120011).

The spelling of 110020100000 in words is "one hundred ten billion, twenty million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 400 500 508 625 635 800 1000 1016 1250 1270 2000 2032 2500 2540 3125 3175 4000 4064 5000 5080 6250 6350 8663 10000 10160 12500 12700 15875 17326 20000 20320 25000 25400 31750 34652 43315 50000 50800 63500 69304 79375 86630 100000 101600 127000 138608 158750 173260 216575 254000 277216 317500 346520 396875 433150 508000 635000 693040 793750 866300 1082875 1100201 1270000 1386080 1587500 1732600 2165750 2200402 2540000 3175000 3465200 4331500 4400804 5414375 5501005 6350000 6930400 8663000 8801608 10828750 11002010 12700000 17326000 17603216 21657500 22004020 27071875 27505025 34652000 35206432 43315000 44008040 54143750 55010050 86630000 88016080 108287500 110020100 137525125 173260000 176032160 216575000 220040200 275050250 433150000 440080400 550100500 687625625 866300000 880160800 1100201000 1375251250 2200402000 2750502500 3438128125 4400804000 5501005000 6876256250 11002010000 13752512500 22004020000 27505025000 55010050000 110020100000