Search a number
-
+
112200110110000 = 2454111020001001
BaseRepresentation
bin11001100000101110011111…
…101101001111010100110000
3112201021020002120212111002201
4121200232133231033110300
5104201241311142010000
61034344004034552544
732430122216062213
oct3140563755172460
9481236076774081
10112200110110000
1132828888119480
1210701171a38754
134a7b56a8c8133
141d9c72b37577a
15ce88b066496a
hex660b9fb4f530

112200110110000 has 100 divisors (see below), whose sum is σ = 296342931113064. Its totient is φ = 40800040000000.

The previous prime is 112200110109851. The next prime is 112200110110001. The reversal of 112200110110000 is 11011002211.

112200110110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×1122001101100003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112200110110001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 509890501 + ... + 510110500.

Almost surely, 2112200110110000 is an apocalyptic number.

112200110110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112200110110000 is an abundant number, since it is smaller than the sum of its proper divisors (184142821003064).

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

112200110110000 is a wasteful number, since it uses less digits than its factorization.

112200110110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020001040 (or 1020001019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112200110110000 its reverse (11011002211), we get a palindrome (112211121112211).

The spelling of 112200110110000 in words is "one hundred twelve trillion, two hundred billion, one hundred ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 1020001001 2040002002 4080004004 5100005005 8160008008 10200010010 11220011011 16320016016 20400020020 22440022022 25500025025 40800040040 44880044044 51000050050 56100055055 81600080080 89760088088 102000100100 112200110110 127500125125 179520176176 204000200200 224400220220 255000250250 280500275275 408000400400 448800440440 510000500500 561000550550 637500625625 897600880880 1020001001000 1122001101100 1275001251250 1402501376375 2040002002000 2244002202200 2550002502500 2805002752750 4488004404400 5100005005000 5610005505500 7012506881875 10200010010000 11220011011000 14025013763750 22440022022000 28050027527500 56100055055000 112200110110000