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132055301 = 7194161397
BaseRepresentation
bin1111101111100…
…00000100000101
3100012111002211002
413313300010011
5232301232201
621034223045
73162310610
oct767600405
9305432732
10132055301
11685a6114
1238284a85
1321488141
1413777177
15b8d776b
hex7df0105

132055301 has 32 divisors (see below), whose sum is σ = 165822720. Its totient is φ = 102643200.

The previous prime is 132055291. The next prime is 132055307. The reversal of 132055301 is 103550231.

It is a cyclic number.

It is not a de Polignac number, because 132055301 - 210 = 132054277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132055307) 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 31 ways as a sum of consecutive naturals, for example, 332435 + ... + 332831.

It is an arithmetic number, because the mean of its divisors is an integer number (5181960).

Almost surely, 2132055301 is an apocalyptic number.

It is an amenable number.

132055301 is a deficient number, since it is larger than the sum of its proper divisors (33767419).

132055301 is a wasteful number, since it uses less digits than its factorization.

132055301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 132055301 is about 11491.5317081754. The cubic root of 132055301 is about 509.2354313240.

The spelling of 132055301 in words is "one hundred thirty-two million, fifty-five thousand, three hundred one".

Divisors: 1 7 19 41 61 133 287 397 427 779 1159 2501 2779 5453 7543 8113 16277 17507 24217 47519 52801 113939 169519 309263 332633 460123 992897 2164841 3220861 6950279 18865043 132055301