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213110112 = 25316313619
BaseRepresentation
bin11001011001111…
…00110101100000
3112212000010010010
430230330311200
5414024010422
633051404520
75165256165
oct1454746540
9485003103
10213110112
11aa327866
125b453740
13351c7677
142043606c
1513a98b0c
hexcb3cd60

213110112 has 48 divisors (see below), whose sum is σ = 562887360. Its totient is φ = 70595712.

The previous prime is 213110071. The next prime is 213110159. The reversal of 213110112 is 211011312.

213110112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8839 + ... + 22457.

It is an arithmetic number, because the mean of its divisors is an integer number (11726820).

Almost surely, 2213110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281443680).

213110112 is an abundant number, since it is smaller than the sum of its proper divisors (349777248).

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

213110112 is a wasteful number, since it uses less digits than its factorization.

213110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13795 (or 13787 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 213110112 is about 14598.2914068736. The cubic root of 213110112 is about 597.3121549057.

Adding to 213110112 its reverse (211011312), we get a palindrome (424121424).

The spelling of 213110112 in words is "two hundred thirteen million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 13619 15648 27238 40857 54476 81714 108952 163428 217904 326856 435808 653712 1307424 2219897 4439794 6659691 8879588 13319382 17759176 26638764 35518352 53277528 71036704 106555056 213110112