Search a number
-
+
212111111112 = 23342292089847
BaseRepresentation
bin1100010110001011001…
…1101011001111001000
3202021111101110212122020
43011202303223033020
511433400421023422
6241235325124440
721216211460565
oct3054263531710
9667441425566
10212111111112
1181a5721323a
12351376b9720
13170044b7a04
14a3a278386c
1557b684195c
hex3162ceb3c8

212111111112 has 32 divisors (see below), whose sum is σ = 530403422400. Its totient is φ = 70686951104.

The previous prime is 212111111089. The next prime is 212111111123. The reversal of 212111111112 is 211111111212.

212111111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121111111122 (a number of 23 digits) contains 22 as substring.

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 = 212111111091 and 212111111100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943428 + ... + 1146419.

It is an arithmetic number, because the mean of its divisors is an integer number (16575106950).

Almost surely, 2212111111112 is an apocalyptic number.

It is an amenable number.

212111111112 is an abundant number, since it is smaller than the sum of its proper divisors (318292311288).

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

212111111112 is a wasteful number, since it uses less digits than its factorization.

212111111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094085 (or 2094081 counting only the distinct ones).

The product of its digits is 8, while the sum is 15.

Adding to 212111111112 its reverse (211111111212), we get a palindrome (423222222324).

The spelling of 212111111112 in words is "two hundred twelve billion, one hundred eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 4229 8458 12687 16916 25374 33832 50748 101496 2089847 4179694 6269541 8359388 12539082 16718776 25078164 50156328 8837962963 17675925926 26513888889 35351851852 53027777778 70703703704 106055555556 212111111112