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212122222112 = 2554112252901
BaseRepresentation
bin1100010110001101111…
…0000011111000100000
3202021112011101101001202
43011203132003320200
511433411242101422
6241240403220332
721216405065303
oct3054336037040
9667464341052
10212122222112
1181a62512089
123513b3776a8
13170068a8178
14a3a4036b3a
1557b77d8b92
hex3163783e20

212122222112 has 24 divisors (see below), whose sum is σ = 418387591692. Its totient is φ = 105865056000.

The previous prime is 212122222079. The next prime is 212122222127. The reversal of 212122222112 is 211222221212.

It can be written as a sum of positive squares in 2 ways, for example, as 212001310096 + 120912016 = 460436^2 + 10996^2 .

It is a super-2 number, since 2×2121222221122 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6109139 + ... + 6143762.

Almost surely, 2212122222112 is an apocalyptic number.

It is an amenable number.

212122222112 is a deficient number, since it is larger than the sum of its proper divisors (206265369580).

212122222112 is a wasteful number, since it uses less digits than its factorization.

212122222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253452 (or 12253444 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

Adding to 212122222112 its reverse (211222221212), we get a palindrome (423344443324).

The spelling of 212122222112 in words is "two hundred twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 541 1082 2164 4328 8656 17312 12252901 24505802 49011604 98023208 196046416 392092832 6628819441 13257638882 26515277764 53030555528 106061111056 212122222112