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109034112 = 2731183311
BaseRepresentation
bin1100111111110…
…11101010000000
321121011111200110
412133323222000
5210403042422
614452551320
72462526465
oct637735200
9247144613
10109034112
1156601a40
1230622540
1319787835
14106a366c
15988b60c
hex67fba80

109034112 has 128 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 32537600.

The previous prime is 109034089. The next prime is 109034137. The reversal of 109034112 is 211430901.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350437 + ... + 350747.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2109034112 is an apocalyptic number.

109034112 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 109034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

109034112 is an abundant number, since it is smaller than the sum of its proper divisors (211751808).

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

109034112 is a wasteful number, since it uses less digits than its factorization.

109034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 109034112 is about 10441.9400496268. The cubic root of 109034112 is about 477.7354441349.

The spelling of 109034112 in words is "one hundred nine million, thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 128 132 166 176 192 249 264 311 332 352 384 498 528 622 664 704 913 933 996 1056 1244 1328 1408 1826 1866 1992 2112 2488 2656 2739 3421 3652 3732 3984 4224 4976 5312 5478 6842 7304 7464 7968 9952 10263 10624 10956 13684 14608 14928 15936 19904 20526 21912 25813 27368 29216 29856 31872 39808 41052 43824 51626 54736 58432 59712 77439 82104 87648 103252 109472 116864 119424 154878 164208 175296 206504 218944 283943 309756 328416 350592 413008 437888 567886 619512 656832 826016 851829 1135772 1239024 1313664 1652032 1703658 2271544 2478048 3304064 3407316 4543088 4956096 6814632 9086176 9912192 13629264 18172352 27258528 36344704 54517056 109034112