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111111210112 = 2771740118191
BaseRepresentation
bin110011101111010111…
…1101000010010000000
3101121210112100022002011
41213132233220102000
53310023432210422
6123013242502304
711012303463040
oct1473657502200
9347715308064
10111111210112
1143138421781
121964ab04994
13a6297a4196
1455409dd720
152d54945077
hex19debe8480

111111210112 has 128 divisors (see below), whose sum is σ = 268540116480. Its totient is φ = 44703744000.

The previous prime is 111111210103. The next prime is 111111210173. The reversal of 111111210112 is 211012111111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1111112101122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111111210092 and 111111210101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6098937 + ... + 6117127.

It is an arithmetic number, because the mean of its divisors is an integer number (2097969660).

Almost surely, 2111111210112 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 111111210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134270058240).

111111210112 is an abundant number, since it is smaller than the sum of its proper divisors (157428906368).

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

111111210112 is a wasteful number, since it uses less digits than its factorization.

111111210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18630 (or 18618 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111111210112 its reverse (211012111111), we get a palindrome (322123321223).

Subtracting 111111210112 from its reverse (211012111111), we obtain a palindrome (99900900999).

The spelling of 111111210112 in words is "one hundred eleven billion, one hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 401 448 476 544 802 896 952 1088 1604 1904 2176 2807 3208 3808 5614 6416 6817 7616 11228 12832 13634 15232 18191 22456 25664 27268 36382 44912 47719 51328 54536 72764 89824 95438 109072 127337 145528 179648 190876 218144 254674 291056 309247 359296 381752 436288 509348 582112 618494 763504 872576 1018696 1164224 1236988 1527008 2037392 2164729 2328448 2473976 3054016 4074784 4329458 4947952 6108032 7294591 8149568 8658916 9895904 14589182 16299136 17317832 19791808 29178364 34635664 39583616 51062137 58356728 69271328 102124274 116713456 124008047 138542656 204248548 233426912 248016094 277085312 408497096 466853824 496032188 816994192 868056329 933707648 992064376 1633988384 1736112658 1984128752 3267976768 3472225316 3968257504 6535953536 6944450632 7936515008 13888901264 15873030016 27777802528 55555605056 111111210112