Search a number
-
+
112210221103110 = 2335131959229312437
BaseRepresentation
bin11001100000110111111010…
…010111100111100000000110
3112201022012012020111011011000
4121200313322113213200012
5104201423013100244420
61034352355224354130
732430630612103224
oct3140677227474006
9481265166434130
10112210221103110
11328320a6553229
1210703114015946
134a7c4bc5a79b0
141d9d00a14bb14
15ce8ca3149690
hex660dfa5e7806

112210221103110 has 512 divisors, whose sum is σ = 345132410112000. Its totient is φ = 25710443476992.

The previous prime is 112210221103063. The next prime is 112210221103133. The reversal of 112210221103110 is 11301122012211.

It is a happy number.

112210221103110 is a `hidden beast` number, since 1 + 1 + 221 + 0 + 22 + 110 + 311 + 0 = 666.

It is a super-2 number, since 2×1122102211031102 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9022283812 + ... + 9022296248.

It is an arithmetic number, because the mean of its divisors is an integer number (674086738500).

Almost surely, 2112210221103110 is an apocalyptic number.

112210221103110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112210221103110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172566205056000).

112210221103110 is an abundant number, since it is smaller than the sum of its proper divisors (232922189008890).

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

112210221103110 is a wasteful number, since it uses less digits than its factorization.

112210221103110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14837 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112210221103110 its reverse (11301122012211), we get a palindrome (123511343115321).

The spelling of 112210221103110 in words is "one hundred twelve trillion, two hundred ten billion, two hundred twenty-one million, one hundred three thousand, one hundred ten".