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111112111112 = 231719431019901
BaseRepresentation
bin110011101111011001…
…1000100010000001000
3101121210121001002000112
41213132303010100020
53310024200023422
6123013314053452
711012314234622
oct1473663042010
9347717032015
10111112111112
1143138987702
121964b27a288
13a629a2b312
145540b95c12
152d54a71ee2
hex19decc4408

111112111112 has 128 divisors (see below), whose sum is σ = 239976950400. Its totient is φ = 47900160000.

The previous prime is 111112111079. The next prime is 111112111141. The reversal of 111112111112 is 211111211111.

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 unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11217362 + ... + 11227262.

It is an arithmetic number, because the mean of its divisors is an integer number (1874819925).

Almost surely, 2111112111112 is an apocalyptic number.

It is an amenable number.

111112111112 is an abundant number, since it is smaller than the sum of its proper divisors (128864839288).

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

111112111112 is a wasteful number, since it uses less digits than its factorization.

111112111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10087 (or 10083 counting only the distinct ones).

The product of its digits is 4, while the sum is 14.

Adding to 111112111112 its reverse (211111211111), we get a palindrome (322223322223).

Subtracting 111112111112 from its reverse (211111211111), we obtain a palindrome (99999099999).

It can be divided in two parts, 11111211111 and 2, that multiplied together give a palindrome (22222422222).

The spelling of 111112111112 in words is "one hundred eleven billion, one hundred twelve million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 17 19 34 38 43 68 76 86 101 136 152 172 202 323 344 404 646 731 808 817 1292 1462 1634 1717 1919 2584 2924 3268 3434 3838 4343 5848 6536 6868 7676 8686 9901 13736 13889 15352 17372 19802 27778 32623 34744 39604 55556 65246 73831 79208 82517 111112 130492 147662 165034 168317 188119 260984 295324 330068 336634 376238 425743 590648 660136 673268 752476 851486 1000001 1346536 1402789 1504952 1702972 2000002 2805578 3198023 3405944 4000004 5611156 6396046 7237631 8000008 8089117 11222312 12792092 14475262 16178234 17000017 19000019 25584184 28950524 32356468 34000034 38000038 43000043 57901048 64712936 68000068 76000076 86000086 136000136 137514989 152000152 172000172 275029978 323000323 344000344 550059956 646000646 731000731 817000817 1100119912 1292001292 1462001462 1634001634 2584002584 2924002924 3268003268 5848005848 6536006536 13889013889 27778027778 55556055556 111112111112