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132233301 = 32293713693
BaseRepresentation
bin1111110000110…
…11100001010101
3100012211010222200
413320123201111
5232322431201
621042115113
73163651554
oct770334125
9305733880
10132233301
1168707922
123834ba99
132151b175
14137c1d9b
15b920386
hex7e1b855

132233301 has 24 divisors (see below), whose sum is σ = 202945080. Its totient is φ = 82809216.

The previous prime is 132233249. The next prime is 132233317. The reversal of 132233301 is 103332231.

132233301 is a `hidden beast` number, since 132 + 233 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 94595076 + 37638225 = 9726^2 + 6135^2 .

It is not a de Polignac number, because 132233301 - 26 = 132233237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132233401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2811 + ... + 16503.

It is an arithmetic number, because the mean of its divisors is an integer number (8456045).

Almost surely, 2132233301 is an apocalyptic number.

It is an amenable number.

132233301 is a deficient number, since it is larger than the sum of its proper divisors (70711779).

132233301 is a wasteful number, since it uses less digits than its factorization.

132233301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13765 (or 13762 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132233301 is about 11499.2739336012. The cubic root of 132233301 is about 509.4641314964.

Adding to 132233301 its reverse (103332231), we get a palindrome (235565532).

The spelling of 132233301 in words is "one hundred thirty-two million, two hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 29 37 87 111 261 333 1073 3219 9657 13693 41079 123237 397097 506641 1191291 1519923 3573873 4559769 14692589 44077767 132233301