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111112002112 = 264121032793
BaseRepresentation
bin110011101111011001…
…0101001101001000000
3101121210120211112111111
41213132302221221000
53310024133031422
6123013311453104
711012313302056
oct1473662515100
9347716745444
10111112002112
1143138912821
121964b227194
13a6299c0817
145540b681d6
152d54a4ea77
hex19deca9a40

111112002112 has 42 divisors (see below), whose sum is σ = 225997015874. Its totient is φ = 54200924160.

The previous prime is 111112002101. The next prime is 111112002119. The reversal of 111112002112 is 211200211111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1857954816 + 109254047296 = 43104^2 + 330536^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111112002092 and 111112002101.

It is not an unprimeable number, because it can be changed into a prime (111112002119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 408813 + ... + 623980.

Almost surely, 2111112002112 is an apocalyptic number.

It is an amenable number.

111112002112 is an abundant number, since it is smaller than the sum of its proper divisors (114885013762).

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

111112002112 is an equidigital number, since it uses as much as digits as its factorization.

111112002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032887 (or 1032836 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111112002112 its reverse (211200211111), we get a palindrome (322312213223).

The spelling of 111112002112 in words is "one hundred eleven billion, one hundred twelve million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1681 2624 3362 6724 13448 26896 53792 107584 1032793 2065586 4131172 8262344 16524688 33049376 42344513 66098752 84689026 169378052 338756104 677512208 1355024416 1736125033 2710048832 3472250066 6944500132 13889000264 27778000528 55556001056 111112002112