Search a number
-
+
112220020022220 = 2233511181149369911
BaseRepresentation
bin11001100001000001000010…
…011011100001101111001100
3112201100010111010212211011000
4121201001002123201233030
5104202103100111202340
61034401055425300300
732431425465406425
oct3141010233415714
9481303433784130
10112220020022220
1132836274807190
1210704ba9794690
134a803c171cb96
141d9d6996ca64c
15ce9178537d30
hex6610426e1bcc

112220020022220 has 384 divisors, whose sum is σ = 383234183055360. Its totient is φ = 27036042624000.

The previous prime is 112220020022203. The next prime is 112220020022233. The reversal of 112220020022220 is 22220020022211.

112220020022220 is a `hidden beast` number, since 1 + 1 + 2 + 220 + 0 + 200 + 22 + 220 = 666.

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 = 112220020022193 and 112220020022202.

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, 1605149065 + ... + 1605218975.

It is an arithmetic number, because the mean of its divisors is an integer number (998005685040).

Almost surely, 2112220020022220 is an apocalyptic number.

112220020022220 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 112220020022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191617091527680).

112220020022220 is an abundant number, since it is smaller than the sum of its proper divisors (271014163033140).

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

112220020022220 is a wasteful number, since it uses less digits than its factorization.

112220020022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71614 (or 71606 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 112220020022220 its reverse (22220020022211), we get a palindrome (134440040044431).

Subtracting from 112220020022220 its reverse (22220020022211), we obtain a palindrome (90000000000009).

The spelling of 112220020022220 in words is "one hundred twelve trillion, two hundred twenty billion, twenty million, twenty-two thousand, two hundred twenty".