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128300100 = 22352647661
BaseRepresentation
bin1111010010110…
…11010001000100
322221102022122120
413221123101010
5230321100400
620421525540
73115350525
oct751332104
9287368576
10128300100
1166470845
1236b738b0
1320771b26
141307a84c
15b3e4ca0
hex7a5b444

128300100 has 72 divisors (see below), whose sum is σ = 372351168. Its totient is φ = 34108800.

The previous prime is 128300093. The next prime is 128300101. The reversal of 128300100 is 1003821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 128300100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128300101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193770 + ... + 194430.

It is an arithmetic number, because the mean of its divisors is an integer number (5171544).

Almost surely, 2128300100 is an apocalyptic number.

128300100 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 128300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186175584).

128300100 is an abundant number, since it is smaller than the sum of its proper divisors (244051068).

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

128300100 is a wasteful number, since it uses less digits than its factorization.

128300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 128300100 is about 11326.9634059619. The cubic root of 128300100 is about 504.3619691251.

Adding to 128300100 its reverse (1003821), we get a palindrome (129303921).

The spelling of 128300100 in words is "one hundred twenty-eight million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 647 661 1294 1322 1941 1983 2588 2644 3235 3305 3882 3966 6470 6610 7764 7932 9705 9915 12940 13220 16175 16525 19410 19830 32350 33050 38820 39660 48525 49575 64700 66100 97050 99150 194100 198300 427667 855334 1283001 1710668 2138335 2566002 4276670 5132004 6415005 8553340 10691675 12830010 21383350 25660020 32075025 42766700 64150050 128300100