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211111322112 = 293315271363
BaseRepresentation
bin1100010010011100110…
…1110010001000000000
3202011220201012022222000
43010213031302020000
511424323444301422
6240552212144000
721152351426055
oct3044715621000
9664821168860
10211111322112
1181593923a39
1234ab8908000
1316ba53228a2
14a309a8d02c
155758ba2cac
hex3127372200

211111322112 has 80 divisors (see below), whose sum is σ = 624904214880. Its totient is φ = 70370436096.

The previous prime is 211111322111. The next prime is 211111322141. The reversal of 211111322112 is 211223111112.

It is a happy number.

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

It is an insolite number, because it is divisible by the sum (32) and by the product (2304) of the squares of its digits.

It is not an unprimeable number, because it can be changed into a prime (211111322111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7621858 + ... + 7649505.

It is an arithmetic number, because the mean of its divisors is an integer number (7811302686).

Almost surely, 2211111322112 is an apocalyptic number.

It is an amenable number.

211111322112 is an abundant number, since it is smaller than the sum of its proper divisors (413792892768).

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

211111322112 is an equidigital number, since it uses as much as digits as its factorization.

211111322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15271390 (or 15271368 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 211111322112 its reverse (211223111112), we get a palindrome (422334433224).

The spelling of 211111322112 in words is "two hundred eleven billion, one hundred eleven million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 15271363 30542726 45814089 61085452 91628178 122170904 137442267 183256356 244341808 274884534 366512712 412326801 488683616 549769068 733025424 824653602 977367232 1099538136 1466050848 1649307204 1954734464 2199076272 2932101696 3298614408 3909468928 4398152544 5864203392 6597228816 7818937856 8796305088 11728406784 13194457632 17592610176 23456813568 26388915264 35185220352 52777830528 70370440704 105555661056 211111322112