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128212353 = 3253268789
BaseRepresentation
bin1111010010001…
…01110110000001
322221020212021200
413221011312001
5230310243403
620420011413
73114533643
oct751056601
9287225250
10128212353
1166410925
1236b30b69
1320740bc9
1413056893
15b3c8ca3
hex7a45d81

128212353 has 12 divisors (see below), whose sum is σ = 188690580. Its totient is φ = 83861856.

The previous prime is 128212307. The next prime is 128212367. The reversal of 128212353 is 353212821.

It can be written as a sum of positive squares in 2 ways, for example, as 32798529 + 95413824 = 5727^2 + 9768^2 .

It is not a de Polignac number, because 128212353 - 213 = 128204161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128212303) 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 11 ways as a sum of consecutive naturals, for example, 133918 + ... + 134871.

It is an arithmetic number, because the mean of its divisors is an integer number (15724215).

Almost surely, 2128212353 is an apocalyptic number.

It is an amenable number.

128212353 is a deficient number, since it is larger than the sum of its proper divisors (60478227).

128212353 is a wasteful number, since it uses less digits than its factorization.

128212353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268848 (or 268845 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 128212353 is about 11323.0893752544. The cubic root of 128212353 is about 504.2469618290.

The spelling of 128212353 in words is "one hundred twenty-eight million, two hundred twelve thousand, three hundred fifty-three".

Divisors: 1 3 9 53 159 477 268789 806367 2419101 14245817 42737451 128212353