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112112210211111 = 34117110181174071
BaseRepresentation
bin11001011111011100101000…
…011101101111000100100111
3112200221211012200200222010000
4121133130220131233010213
5104143321301303223421
61034235345515032343
732420561040213345
oct3137345035570447
9480854180628100
10112112210211111
11327a45809a5440
12106a812043b6b3
134a7319cbcaa46
141d9838d34c995
15ce6468870226
hex65f72876f127

112112210211111 has 80 divisors (see below), whose sum is σ = 185293901016576. Its totient is φ = 66982832280000.

The previous prime is 112112210211103. The next prime is 112112210211121. The reversal of 112112210211111 is 111112012211211.

112112210211111 is a `hidden beast` number, since 1 + 121 + 1 + 221 + 0 + 211 + 111 = 666.

It is not a de Polignac number, because 112112210211111 - 23 = 112112210211103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112210211121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 643973206 + ... + 644147276.

Almost surely, 2112112210211111 is an apocalyptic number.

112112210211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112112210211111 is a deficient number, since it is larger than the sum of its proper divisors (73181690805465).

112112210211111 is a wasteful number, since it uses less digits than its factorization.

112112210211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184346 (or 184337 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 112112210211111 its reverse (111112012211211), we get a palindrome (223224222422322).

The spelling of 112112210211111 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred ten million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 3 9 11 27 33 71 81 99 213 297 639 781 891 1917 2343 5751 7029 10181 21087 30543 63261 91629 111991 174071 274887 335973 522213 722851 824661 1007919 1566639 1914781 2168553 3023757 4699917 5744343 6505659 7951361 9071271 12359041 14099751 17233029 19516977 23854083 37077123 51699087 58550931 71562249 111231369 135949451 155097261 214686747 333694107 407848353 644060241 1001082321 1223545059 1772216851 3670635177 5316650553 11011905531 15949951659 19494385361 47849854977 58483156083 125827396421 143549564931 175449468249 377482189263 526348404747 1132446567789 1384101360631 1579045214241 3397339703367 4152304081893 10192019110101 12456912245679 37370736737037 112112210211111