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112002912 = 253476173
BaseRepresentation
bin1101010110100…
…00011101100000
321210202100010000
412223100131200
5212133043122
615040340000
72530003050
oct653203540
9253670100
10112002912
115824a49a
1231614600
131a286c18
1410c37560
159c760ac
hex6ad0760

112002912 has 120 divisors (see below), whose sum is σ = 376515216. Its totient is φ = 31995648.

The previous prime is 112002911. The next prime is 112002923. The reversal of 112002912 is 219200211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002911) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15058 + ... + 21230.

Almost surely, 2112002912 is an apocalyptic number.

112002912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112002912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188257608).

112002912 is an abundant number, since it is smaller than the sum of its proper divisors (264512304).

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

112002912 is an equidigital number, since it uses as much as digits as its factorization.

112002912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 112002912 is about 10583.1428224323. The cubic root of 112002912 is about 482.0326303788.

The spelling of 112002912 in words is "one hundred twelve million, two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 6173 9072 12346 18144 18519 24692 37038 43211 49384 55557 74076 86422 98768 111114 129633 148152 166671 172844 197536 222228 259266 296304 333342 345688 388899 444456 500013 518532 592608 666684 691376 777798 888912 1000026 1037064 1166697 1333368 1382752 1555596 1777824 2000052 2074128 2333394 2666736 3111192 3500091 4000104 4148256 4666788 5333472 6222384 7000182 8000208 9333576 12444768 14000364 16000416 18667152 28000728 37334304 56001456 112002912