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211111211112 = 233174711009137
BaseRepresentation
bin1100010010011100110…
…1010111000001101000
3202011220200222200200220
43010213031113001220
511424323432223422
6240552205530040
721152350454334
oct3044715270150
9664820880626
10211111211112
11815938585aa
1234ab8873920
1316ba52b41c9
14a309a607c4
155758b7ee5c
hex3127357068

211111211112 has 64 divisors (see below), whose sum is σ = 570713713920. Its totient is φ = 64821792768.

The previous prime is 211111211093. The next prime is 211111211161. The reversal of 211111211112 is 211112111112.

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 = 211111211091 and 211111211100.

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 15 ways as a sum of consecutive naturals, for example, 5485393 + ... + 5523744.

It is an arithmetic number, because the mean of its divisors is an integer number (8917401780).

Almost surely, 2211111211112 is an apocalyptic number.

It is an amenable number.

211111211112 is an abundant number, since it is smaller than the sum of its proper divisors (359602502808).

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

211111211112 is a wasteful number, since it uses less digits than its factorization.

211111211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11009210 (or 11009206 counting only the distinct ones).

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

Adding to 211111211112 its reverse (211112111112), we get a palindrome (422223322224).

The spelling of 211111211112 in words is "two hundred eleven billion, one hundred eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 47 51 68 94 102 136 141 188 204 282 376 408 564 799 1128 1598 2397 3196 4794 6392 9588 19176 11009137 22018274 33027411 44036548 66054822 88073096 132109644 187155329 264219288 374310658 517429439 561465987 748621316 1034858878 1122931974 1497242632 1552288317 2069717756 2245863948 3104576634 4139435512 4491727896 6209153268 8796300463 12418306536 17592600926 26388901389 35185201852 52777802778 70370403704 105555605556 211111211112