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112931289 = 32173719949
BaseRepresentation
bin1101011101100…
…11000111011001
321212111111121100
412232303013121
5212402300124
615112302013
72540620512
oct656630731
9255444540
10112931289
1158823a49
12319a1909
131a520663
1410dd9a09
159dab1c9
hex6bb31d9

112931289 has 24 divisors (see below), whose sum is σ = 177395400. Its totient is φ = 68940288.

The previous prime is 112931263. The next prime is 112931293. The reversal of 112931289 is 982139211.

It can be written as a sum of positive squares in 4 ways, for example, as 29975625 + 82955664 = 5475^2 + 9108^2 .

It is not a de Polignac number, because 112931289 - 25 = 112931257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112931389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4314 + ... + 15635.

It is an arithmetic number, because the mean of its divisors is an integer number (7391475).

Almost surely, 2112931289 is an apocalyptic number.

It is an amenable number.

112931289 is a deficient number, since it is larger than the sum of its proper divisors (64464111).

112931289 is a wasteful number, since it uses less digits than its factorization.

112931289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20009 (or 20006 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 112931289 is about 10626.9134277080. The cubic root of 112931289 is about 483.3608018740.

The spelling of 112931289 in words is "one hundred twelve million, nine hundred thirty-one thousand, two hundred eighty-nine".

Divisors: 1 3 9 17 37 51 111 153 333 629 1887 5661 19949 59847 179541 339133 738113 1017399 2214339 3052197 6643017 12547921 37643763 112931289