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132033353 = 3731711257
BaseRepresentation
bin1111101111010…
…10101101001001
3100012102222201012
413313222231021
5232300031403
621033533305
73162156614
oct767525511
9305388635
10132033353
1168590681
1238274235
132147b15a
141376d17b
15b8d0ed8
hex7deab49

132033353 has 8 divisors (see below), whose sum is σ = 136041672. Its totient is φ = 128048256.

The previous prime is 132033313. The next prime is 132033359. The reversal of 132033353 is 353330231.

It can be written as a sum of positive squares in 4 ways, for example, as 34951744 + 97081609 = 5912^2 + 9853^2 .

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 132033353 - 26 = 132033289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132033359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6101 + ... + 17357.

It is an arithmetic number, because the mean of its divisors is an integer number (17005209).

Almost surely, 2132033353 is an apocalyptic number.

It is an amenable number.

132033353 is a deficient number, since it is larger than the sum of its proper divisors (4008319).

132033353 is a wasteful number, since it uses less digits than its factorization.

132033353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11611.

The product of its (nonzero) digits is 2430, while the sum is 23.

The square root of 132033353 is about 11490.5767044131. The cubic root of 132033353 is about 509.2072175922.

Adding to 132033353 its reverse (353330231), we get a palindrome (485363584).

The spelling of 132033353 in words is "one hundred thirty-two million, thirty-three thousand, three hundred fifty-three".

Divisors: 1 37 317 11257 11729 416509 3568469 132033353