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112210112 = 267412149
BaseRepresentation
bin1101011000000…
…11000011000000
321211010212100002
412230003003000
5212211210422
615045015132
72531525120
oct654030300
9254125302
10112210112
1158381133
12316b44a8
131a32a321
1410c8cc80
159cb7692
hex6b030c0

112210112 has 84 divisors (see below), whose sum is σ = 262585200. Its totient is φ = 46602240.

The previous prime is 112210097. The next prime is 112210121. The reversal of 112210112 is 211012211.

It is a super-2 number, since 2×1122101122 = 25182218470105088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112210093 and 112210102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 753014 + ... + 753162.

Almost surely, 2112210112 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 112210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131292600).

112210112 is an abundant number, since it is smaller than the sum of its proper divisors (150375088).

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

112210112 is an equidigital number, since it uses as much as digits as its factorization.

112210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 112210112 is about 10592.9274518426. The cubic root of 112210112 is about 482.3296929972.

Adding to 112210112 its reverse (211012211), we get a palindrome (323222323).

The spelling of 112210112 in words is "one hundred twelve million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 149 164 224 287 298 328 448 574 596 656 1043 1148 1192 1312 1681 2086 2296 2384 2624 3362 4172 4592 4768 6109 6724 8344 9184 9536 11767 12218 13448 16688 18368 23534 24436 26896 33376 42763 47068 48872 53792 66752 85526 94136 97744 107584 171052 188272 195488 250469 342104 376544 390976 500938 684208 753088 1001876 1368416 1753283 2003752 2736832 3506566 4007504 7013132 8015008 14026264 16030016 28052528 56105056 112210112