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109481112 = 233313127307
BaseRepresentation
bin1101000011010…
…00110010011000
321122000012212000
412201220302120
5211011343422
614510321000
72466400626
oct641506230
9248005760
10109481112
1156887864
12307b9160
13198b3130
141077c516
159928cac
hex6868c98

109481112 has 128 divisors (see below), whose sum is σ = 331161600. Its totient is φ = 33312384.

The previous prime is 109481107. The next prime is 109481131. The reversal of 109481112 is 211184901.

It is a super-2 number, since 2×1094811122 = 23972227769513088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356463 + ... + 356769.

It is an arithmetic number, because the mean of its divisors is an integer number (2587200).

Almost surely, 2109481112 is an apocalyptic number.

109481112 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 109481112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165580800).

109481112 is an abundant number, since it is smaller than the sum of its proper divisors (221680488).

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

109481112 is a wasteful number, since it uses less digits than its factorization.

109481112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 109481112 is about 10463.3222257560. The cubic root of 109481112 is about 478.3874009090.

The spelling of 109481112 in words is "one hundred nine million, four hundred eighty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 127 156 216 234 254 307 312 351 381 468 508 614 702 762 921 936 1016 1143 1228 1404 1524 1651 1842 2286 2456 2763 2808 3048 3302 3429 3684 3991 4572 4953 5526 6604 6858 7368 7982 8289 9144 9906 11052 11973 13208 13716 14859 15964 16578 19812 22104 23946 27432 29718 31928 33156 35919 38989 39624 44577 47892 59436 66312 71838 77978 89154 95784 107757 116967 118872 143676 155956 178308 215514 233934 287352 311912 350901 356616 431028 467868 506857 701802 862056 935736 1013714 1052703 1403604 1520571 2027428 2105406 2807208 3041142 4054856 4210812 4561713 6082284 8421624 9123426 12164568 13685139 18246852 27370278 36493704 54740556 109481112