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211112221212 = 223331101624319
BaseRepresentation
bin1100010010011101000…
…1001101101000011100
3202011220202220000022000
43010213101031220130
511424324212034322
6240552243322300
721152362162254
oct3044721155034
9664822800260
10211112221212
11815943884a2
1234ab9080390
1316ba5578bb9
14a309c44964
155758cce3ac
hex312744da1c

211112221212 has 96 divisors (see below), whose sum is σ = 570578534400. Its totient is φ = 67426344000.

The previous prime is 211112221211. The next prime is 211112221249. The reversal of 211112221212 is 212122211112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112221211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25989 + ... + 650307.

It is an arithmetic number, because the mean of its divisors is an integer number (5943526400).

Almost surely, 2211112221212 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 211112221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285289267200).

211112221212 is an abundant number, since it is smaller than the sum of its proper divisors (359466313188).

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

211112221212 is a wasteful number, since it uses less digits than its factorization.

211112221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624464 (or 624456 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 211112221212 its reverse (212122211112), we get a palindrome (423234432324).

The spelling of 211112221212 in words is "two hundred eleven billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 101 108 124 186 202 279 303 372 404 558 606 837 909 1116 1212 1674 1818 2727 3131 3348 3636 5454 6262 9393 10908 12524 18786 28179 37572 56358 84537 112716 169074 338148 624319 1248638 1872957 2497276 3745914 5618871 7491828 11237742 16856613 19353889 22475484 33713226 38707778 58061667 63056219 67426452 77415556 116123334 126112438 174185001 189168657 232246668 252224876 348370002 378337314 522555003 567505971 696740004 756674628 1045110006 1135011942 1702517913 1954742789 2090220012 2270023884 3405035826 3909485578 5864228367 6810071652 7818971156 11728456734 17592685101 23456913468 35185370202 52778055303 70370740404 105556110606 211112221212