Search a number
-
+
212312112 = 2434423169
BaseRepresentation
bin11001010011110…
…10000000110000
3112210111120110120
430221322000300
5413322441422
633022330240
75155423515
oct1451720060
9483446416
10212312112
11a9932261
125b129980
1334ca838c
14202a930c
151398c45c
hexca7a030

212312112 has 20 divisors (see below), whose sum is σ = 548473080. Its totient is φ = 70770688.

The previous prime is 212312101. The next prime is 212312119. The reversal of 212312112 is 211213212.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212312091 and 212312100.

It is not an unprimeable number, because it can be changed into a prime (212312119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2211537 + ... + 2211632.

It is an arithmetic number, because the mean of its divisors is an integer number (27423654).

Almost surely, 2212312112 is an apocalyptic number.

It is an amenable number.

212312112 is an abundant number, since it is smaller than the sum of its proper divisors (336160968).

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

212312112 is a wasteful number, since it uses less digits than its factorization.

212312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423180 (or 4423174 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 212312112 is about 14570.9338067263. The cubic root of 212312112 is about 596.5656686757.

Adding to 212312112 its reverse (211213212), we get a palindrome (423525324).

It can be divided in two parts, 2123121 and 12, that multiplied together give a palindrome (25477452).

The spelling of 212312112 in words is "two hundred twelve million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 4423169 8846338 13269507 17692676 26539014 35385352 53078028 70770704 106156056 212312112