Search a number
-
+
110212200200 = 235217127255239
BaseRepresentation
bin110011010100100101…
…0001011011100001000
3101112110212200212022202
41212221022023130020
53301203310401300
6122344125535332
710651106146634
oct1465112133410
9345425625282
10110212200200
1142816a06283
1219439a14548
13a51546635b
14549745ddc4
152d00a61ad5
hex19a928b708

110212200200 has 96 divisors (see below), whose sum is σ = 273453926400. Its totient is φ = 41164784640.

The previous prime is 110212200151. The next prime is 110212200209. The reversal of 110212200200 is 2002212011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110212200209) 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, 304181 + ... + 559419.

It is an arithmetic number, because the mean of its divisors is an integer number (2848478400).

Almost surely, 2110212200200 is an apocalyptic number.

110212200200 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 110212200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136726963200).

110212200200 is an abundant number, since it is smaller than the sum of its proper divisors (163241726200).

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

110212200200 is a wasteful number, since it uses less digits than its factorization.

110212200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255399 (or 255390 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 110212200200 its reverse (2002212011), we get a palindrome (112214412211).

The spelling of 110212200200 in words is "one hundred ten billion, two hundred twelve million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 127 136 170 200 254 340 425 508 635 680 850 1016 1270 1700 2159 2540 3175 3400 4318 5080 6350 8636 10795 12700 17272 21590 25400 43180 53975 86360 107950 215900 255239 431800 510478 1020956 1276195 2041912 2552390 4339063 5104780 6380975 8678126 10209560 12761950 17356252 21695315 25523900 32415353 34712504 43390630 51047800 64830706 86781260 108476575 129661412 162076765 173562520 216953150 259322824 324153530 433906300 551061001 648307060 810383825 867812600 1102122002 1296614120 1620767650 2204244004 2755305005 3241535300 4408488008 5510610010 6483070600 11021220020 13776525025 22042440040 27553050050 55106100100 110212200200