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213312112 = 24134792141
BaseRepresentation
bin11001011011011…
…10001001110000
3112212101101012121
430231232021300
5414101441422
633100004024
75200060126
oct1455561160
9485341177
10213312112
11aa455602
125b530614
13352685b0
1420489916
1513ad88c7
hexcb6e270

213312112 has 40 divisors (see below), whose sum is σ = 446221440. Its totient is φ = 98200320.

The previous prime is 213312103. The next prime is 213312119. The reversal of 213312112 is 211213312.

213312112 is digitally balanced in base 2, 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 (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213312119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98562 + ... + 100702.

It is an arithmetic number, because the mean of its divisors is an integer number (11155536).

Almost surely, 2213312112 is an apocalyptic number.

It is an amenable number.

213312112 is an abundant number, since it is smaller than the sum of its proper divisors (232909328).

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

213312112 is a wasteful number, since it uses less digits than its factorization.

213312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2635 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 213312112 is about 14605.2083860519. The cubic root of 213312112 is about 597.5008194290.

Adding to 213312112 its reverse (211213312), we get a palindrome (424525424).

It can be divided in two parts, 21 and 3312112, that added together give a palindrome (3312133).

The spelling of 213312112 in words is "two hundred thirteen million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 479 958 1916 2141 3832 4282 6227 7664 8564 12454 17128 24908 27833 34256 49816 55666 99632 111332 222664 445328 1025539 2051078 4102156 8204312 13332007 16408624 26664014 53328028 106656056 213312112