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133205521 = 1092814349
BaseRepresentation
bin1111111000010…
…00111000010001
3100021122112121211
413330020320101
5233100034041
621115020121
73205141201
oct774107021
9307575554
10133205521
1169211309
123873a641
132179b847
1413996401
15ba63481
hex7f08e11

133205521 has 8 divisors (see below), whose sum is σ = 134937000. Its totient is φ = 131483520.

The previous prime is 133205503. The next prime is 133205531. The reversal of 133205521 is 125502331.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 123988225 = 3036^2 + 11135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133205521 - 217 = 133074449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133205492 and 133205501.

It is not an unprimeable number, because it can be changed into a prime (133205531) 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 7 ways as a sum of consecutive naturals, for example, 28455 + ... + 32803.

It is an arithmetic number, because the mean of its divisors is an integer number (16867125).

Almost surely, 2133205521 is an apocalyptic number.

It is an amenable number.

133205521 is a deficient number, since it is larger than the sum of its proper divisors (1731479).

133205521 is a wasteful number, since it uses less digits than its factorization.

133205521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4739.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 133205521 is about 11541.4696204600. The cubic root of 133205521 is about 510.7096630801.

Adding to 133205521 its reverse (125502331), we get a palindrome (258707852).

The spelling of 133205521 in words is "one hundred thirty-three million, two hundred five thousand, five hundred twenty-one".

Divisors: 1 109 281 4349 30629 474041 1222069 133205521