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112355034 = 231141279
BaseRepresentation
bin1101011001001…
…10011011011010
321211102020010120
412230212123122
5212230330114
615052054110
72533000461
oct654463332
9254366116
10112355034
1158470000
1231764336
131a37b28c
1410cc99d8
159ce55a9
hex6b266da

112355034 has 40 divisors (see below), whose sum is σ = 247372800. Its totient is φ = 34020360.

The previous prime is 112355021. The next prime is 112355041. The reversal of 112355034 is 430553211.

It is a junction number, because it is equal to n+sod(n) for n = 112354995 and 112355013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87207 + ... + 88485.

It is an arithmetic number, because the mean of its divisors is an integer number (6184320).

Almost surely, 2112355034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112355034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123686400).

112355034 is an abundant number, since it is smaller than the sum of its proper divisors (135017766).

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

112355034 is an equidigital number, since it uses as much as digits as its factorization.

112355034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 112355034 is about 10599.7657521287. The cubic root of 112355034 is about 482.5372503837.

The spelling of 112355034 in words is "one hundred twelve million, three hundred fifty-five thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1279 1331 2558 2662 3837 3993 7674 7986 14069 14641 28138 29282 42207 43923 84414 87846 154759 309518 464277 928554 1702349 3404698 5107047 10214094 18725839 37451678 56177517 112355034