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128512233 = 3217218297
BaseRepresentation
bin1111010100011…
…11000011101001
322221211002122100
413222033003221
5230344342413
620430244013
73120223143
oct752170351
9287732570
10128512233
11665a6163
1237056609
1320817555
14130d3c93
15b437a73
hex7a8f0e9

128512233 has 12 divisors (see below), whose sum is σ = 185759028. Its totient is φ = 85614720.

The previous prime is 128512229. The next prime is 128512271. The reversal of 128512233 is 332215821.

128512233 is a `hidden beast` number, since 128 + 512 + 23 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116380944 + 12131289 = 10788^2 + 3483^2 .

It is not a de Polignac number, because 128512233 - 22 = 128512229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 128512197 and 128512206.

It is not an unprimeable number, because it can be changed into a prime (128512213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11341 + ... + 19637.

It is an arithmetic number, because the mean of its divisors is an integer number (15479919).

Almost surely, 2128512233 is an apocalyptic number.

It is an amenable number.

128512233 is a deficient number, since it is larger than the sum of its proper divisors (57246795).

128512233 is a wasteful number, since it uses less digits than its factorization.

128512233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 10021 counting only the distinct ones).

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

The square root of 128512233 is about 11336.3236104127. The cubic root of 128512233 is about 504.6397888735.

The spelling of 128512233 in words is "one hundred twenty-eight million, five hundred twelve thousand, two hundred thirty-three".

Divisors: 1 3 9 1721 5163 8297 15489 24891 74673 14279137 42837411 128512233