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212111111214 = 2345373333703
BaseRepresentation
bin1100010110001011001…
…1101011010000101110
3202021111101110212210000
43011202303223100232
511433400421024324
6241235325125130
721216211461102
oct3054263532056
9667441425700
10212111111214
1181a57213322
12351376b97a6
13170044b7a82
14a3a2783902
1557b68419c9
hex3162ceb42e

212111111214 has 80 divisors (see below), whose sum is σ = 484928703072. Its totient is φ = 69272978112.

The previous prime is 212111111209. The next prime is 212111111237. The reversal of 212111111214 is 412111111212.

212111111214 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 2×2121111112142 (a number of 23 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6276687 + ... + 6310389.

Almost surely, 2212111111214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111111214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242464351536).

212111111214 is an abundant number, since it is smaller than the sum of its proper divisors (272817591858).

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

212111111214 is a wasteful number, since it uses less digits than its factorization.

212111111214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34503 (or 34494 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 212111111214 its reverse (412111111212), we get a palindrome (624222222426).

The spelling of 212111111214 in words is "two hundred twelve billion, one hundred eleven million, one hundred eleven thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 733 954 1431 1466 2199 2862 4293 4398 6597 8586 13194 19791 33703 38849 39582 59373 67406 77698 101109 116547 118746 202218 233094 303327 349641 606654 699282 909981 1048923 1786259 1819962 2097846 2729943 3146769 3572518 5358777 5459886 6293538 10717554 16076331 24704299 32152662 48228993 49408598 74112897 96457986 144686979 148225794 222338691 289373958 444677382 667016073 1309327847 1334032146 2001048219 2618655694 3927983541 4002096438 7855967082 11783950623 23567901246 35351851869 70703703738 106055555607 212111111214