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109312128 = 273294889
BaseRepresentation
bin1101000001111…
…11100010000000
321121200122001100
412200333202000
5210440442003
614502534400
72465065152
oct640774200
9247618040
10109312128
1156781902
1230737400
1319854243
1410736ad2
1598e3ba3
hex683f880

109312128 has 48 divisors (see below), whose sum is σ = 314560350. Its totient is φ = 36436992.

The previous prime is 109312127. The next prime is 109312139. The reversal of 109312128 is 821213901.

It can be written as a sum of positive squares in only one way, i.e., 56430144 + 52881984 = 7512^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (109312121) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 46293 + ... + 48596.

Almost surely, 2109312128 is an apocalyptic number.

109312128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109312128 is an abundant number, since it is smaller than the sum of its proper divisors (205248222).

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

109312128 is an equidigital number, since it uses as much as digits as its factorization.

109312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94909 (or 94894 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 109312128 is about 10455.2440430628. The cubic root of 109312128 is about 478.1411439890.

The spelling of 109312128 in words is "one hundred nine million, three hundred twelve thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 94889 189778 284667 379556 569334 759112 854001 1138668 1518224 1708002 2277336 3036448 3416004 4554672 6072896 6832008 9109344 12145792 13664016 18218688 27328032 36437376 54656064 109312128