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128343100 = 225219312179
BaseRepresentation
bin1111010011001…
…01110000111100
322221111111122011
413221211300330
5230323434400
620422501004
73115620064
oct751456074
9287444564
10128343100
11664a0086
1236b94764
1320788582
141308c3a4
15b4028ba
hex7a65c3c

128343100 has 72 divisors (see below), whose sum is σ = 302758400. Its totient is φ = 47044800.

The previous prime is 128343091. The next prime is 128343101. The reversal of 128343100 is 1343821.

It is a super-2 number, since 2×1283431002 = 32943902635220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128343101) 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, 57811 + ... + 59989.

Almost surely, 2128343100 is an apocalyptic number.

128343100 is a gapful number since it is divisible by the number (10) 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 128343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151379200).

128343100 is an abundant number, since it is smaller than the sum of its proper divisors (174415300).

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

128343100 is a wasteful number, since it uses less digits than its factorization.

128343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 128343100 is about 11328.8613726182. The cubic root of 128343100 is about 504.4183087597.

Adding to 128343100 its reverse (1343821), we get a palindrome (129686921).

The spelling of 128343100 in words is "one hundred twenty-eight million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 310 380 475 589 620 775 950 1178 1550 1900 2179 2356 2945 3100 4358 5890 8716 10895 11780 14725 21790 29450 41401 43580 54475 58900 67549 82802 108950 135098 165604 207005 217900 270196 337745 414010 675490 828020 1035025 1283431 1350980 1688725 2070050 2566862 3377450 4140100 5133724 6417155 6754900 12834310 25668620 32085775 64171550 128343100