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1112111112112 = 2471113339120477
BaseRepresentation
bin10000001011101110111…
…111001101111110110000
310221022112221021000020121
4100023232333031332300
5121210100421041422
62210521412420024
7143230102324210
oct20135677157660
93838487230217
101112111112112
11399709803860
1215b64b917614
1380b43c743c0
143bb7db6a240
151ddddd6d8c7
hex102eefcdfb0

1112111112112 has 160 divisors (see below), whose sum is σ = 2894038769664. Its totient is φ = 399822566400.

The previous prime is 1112111112109. The next prime is 1112111112137. The reversal of 1112111112112 is 2112111112111.

It is a super-2 number, since 2×11121111121122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 54300018 + ... + 54320494.

Almost surely, 21112111112112 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 1112111112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447019384832).

1112111112112 is an abundant number, since it is smaller than the sum of its proper divisors (1781927657552).

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

1112111112112 is a wasteful number, since it uses less digits than its factorization.

1112111112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23907 (or 23901 counting only the distinct ones).

The product of its digits is 8, while the sum is 16.

Adding to 1112111112112 its reverse (2112111112111), we get a palindrome (3224222224223).

Subtracting 1112111112112 from its reverse (2112111112111), we obtain a palindrome (999999999999).

The spelling of 1112111112112 in words is "one trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 3391 4004 6782 8008 13564 16016 20477 23737 27128 37301 40954 44083 47474 54256 74602 81908 88166 94948 143339 149204 163816 176332 189896 225247 261107 266201 286678 298408 308581 327632 352664 379792 450494 484913 522214 532402 573356 596816 617162 705328 900988 969826 1044428 1064804 1146712 1234324 1576729 1801976 1863407 1939652 2088856 2129608 2293424 2468648 2928211 3153458 3394391 3603952 3726814 3879304 4177712 4259216 4937296 5856422 6306916 6788782 7453628 7758608 11712844 12613832 13577564 14907256 20497477 23425688 25227664 27155128 29814512 40994954 46851376 54310256 69437507 81989908 138875014 163979816 277750028 327959632 486062549 555500056 763812577 902687591 972125098 1111000112 1527625154 1805375182 1944250196 3055250308 3610750364 3888500392 5346688039 6110500616 6318813137 7221500728 7777000784 9929563501 10693376078 12221001232 12637626274 14443001456 19859127002 21386752156 25275252548 39718254004 42773504312 50550505096 69506944507 79436508008 85547008624 101101010192 139013889014 158873016016 278027778028 556055556056 1112111112112