Search a number
-
+
112211110022220 = 2233511197712913451
BaseRepresentation
bin11001100000111000101111…
…010110100100110001001100
3112201022021111012010220221000
4121200320233112210301030
5104201431323131202340
61034353023341140300
732430661624561146
oct3140705726446114
9481267435126830
10112211110022220
11328325122a7320
121070332185a690
134a7c6017c1831
141d9d092221c96
15ce8d061d7d30
hex660e2f5a4c4c

112211110022220 has 384 divisors, whose sum is σ = 382853045836800. Its totient is φ = 27058800384000.

The previous prime is 112211110022191. The next prime is 112211110022239. The reversal of 112211110022220 is 22220011112211.

112211110022220 is a `hidden beast` number, since 112 + 211 + 1 + 100 + 22 + 220 = 666.

112211110022220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112211110022193 and 112211110022202.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8342206495 + ... + 8342219945.

It is an arithmetic number, because the mean of its divisors is an integer number (997013140200).

Almost surely, 2112211110022220 is an apocalyptic number.

112211110022220 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 112211110022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191426522918400).

112211110022220 is an abundant number, since it is smaller than the sum of its proper divisors (270641935814580).

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

112211110022220 is a wasteful number, since it uses less digits than its factorization.

112211110022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20806 (or 20798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211110022220 its reverse (22220011112211), we get a palindrome (134431121134431).

The spelling of 112211110022220 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred ten million, twenty-two thousand, two hundred twenty".