Search a number
-
+
112102233310200 = 233527217212215573
BaseRepresentation
bin11001011111010011010101…
…110010111000001111111000
3112200220212110101101212222110
4121133103111302320033320
5104143140333211411300
61034231015515252320
732420055563025600
oct3137232562701770
9480825411355873
10112102233310200
11327a0321228091
12106a61b714a0a0
134a7226cc3a493
141d97ac42bdc00
15ce6082a26550
hex65f4d5cb83f8

112102233310200 has 288 divisors, whose sum is σ = 404489457736560. Its totient is φ = 25608467404800.

The previous prime is 112102233310189. The next prime is 112102233310259. The reversal of 112102233310200 is 2013332201211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49489614 + ... + 51705186.

Almost surely, 2112102233310200 is an apocalyptic number.

112102233310200 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 112102233310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202244728868280).

112102233310200 is an abundant number, since it is smaller than the sum of its proper divisors (292387224426360).

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

112102233310200 is a wasteful number, since it uses less digits than its factorization.

112102233310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217327 (or 2217311 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112102233310200 its reverse (2013332201211), we get a palindrome (114115565511411).

The spelling of 112102233310200 in words is "one hundred twelve trillion, one hundred two billion, two hundred thirty-three million, three hundred ten thousand, two hundred".