Search a number
-
+
112210112012100 = 22352374033706707
BaseRepresentation
bin11001100000110111110011…
…110111011101111101000100
3112201022011220122012202102020
4121200313303313131331010
5104201422302133341400
61034352340330243140
732430625115615514
oct3140676367357504
9481264818182366
10112210112012100
113283204aa12573
12107030a35864b0
134a7c4a2b002bb
141d9cdd9871844
15ce8c9879b2a0
hex660df3dddf44

112210112012100 has 36 divisors (see below), whose sum is σ = 324661257422544. Its totient is φ = 29922696536480.

The previous prime is 112210112012099. The next prime is 112210112012153. The reversal of 112210112012100 is 1210211012211.

It is a happy number.

It is a super-3 number, since 3×1122101120121003 (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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112210112012100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187016853054 + ... + 187016853653.

Almost surely, 2112210112012100 is an apocalyptic number.

112210112012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112210112012100 is an abundant number, since it is smaller than the sum of its proper divisors (212451145410444).

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

112210112012100 is a wasteful number, since it uses less digits than its factorization.

112210112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374033706724 (or 374033706717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112210112012100 its reverse (1210211012211), we get a palindrome (113420323024311).

The spelling of 112210112012100 in words is "one hundred twelve trillion, two hundred ten billion, one hundred twelve million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 374033706707 748067413414 1122101120121 1496134826828 1870168533535 2244202240242 3740337067070 4488404480484 5610505600605 7480674134140 9350842667675 11221011201210 18701685335350 22442022402420 28052528003025 37403370670700 56105056006050 112210112012100