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132170134305 = 35117310973029
BaseRepresentation
bin111101100010111110…
…1000011001100100001
3110122011011102111020110
41323011331003030201
54131141023244210
6140415040401533
712356204414346
oct1730575031441
9418134374213
10132170134305
1151064660160
12217476162a9
13c60467a381
14657b7b07cd
153688631420
hex1ec5f43321

132170134305 has 32 divisors (see below), whose sum is σ = 233857215360. Its totient is φ = 63204641280.

The previous prime is 132170134303. The next prime is 132170134337. The reversal of 132170134305 is 503431071231.

It is not a de Polignac number, because 132170134305 - 21 = 132170134303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132170134303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5474470 + ... + 5498559.

It is an arithmetic number, because the mean of its divisors is an integer number (7308037980).

Almost surely, 2132170134305 is an apocalyptic number.

132170134305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132170134305 is a deficient number, since it is larger than the sum of its proper divisors (101687081055).

132170134305 is a wasteful number, since it uses less digits than its factorization.

132170134305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10973121.

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 132170134305 in words is "one hundred thirty-two billion, one hundred seventy million, one hundred thirty-four thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 73 165 219 365 803 1095 2409 4015 12045 10973029 32919087 54865145 120703319 164595435 362109957 603516595 801031117 1810549785 2403093351 4005155585 8811342287 12015466755 26434026861 44056711435 132170134305