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132717577301 = 31199143315013
BaseRepresentation
bin111101110011010010…
…1011000010001010101
3110200120022112110211222
41323212211120101111
54133301144433201
6140545234140125
712405602536151
oct1734645302125
9420508473758
10132717577301
1151315681191
122187aa21645
13c690c03a3a
1465d0396061
1536bb71b91b
hex1ee6958455

132717577301 has 16 divisors (see below), whose sum is σ = 137792486400. Its totient is φ = 127693272960.

The previous prime is 132717577297. The next prime is 132717577309. The reversal of 132717577301 is 103775717231.

It is a cyclic number.

It is not a de Polignac number, because 132717577301 - 22 = 132717577297 is a prime.

It is a super-2 number, since 2×1327175773012 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132717577309) 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 15 ways as a sum of consecutive naturals, for example, 8832671 + ... + 8847683.

It is an arithmetic number, because the mean of its divisors is an integer number (8612030400).

Almost surely, 2132717577301 is an apocalyptic number.

It is an amenable number.

132717577301 is a deficient number, since it is larger than the sum of its proper divisors (5074909099).

132717577301 is a wasteful number, since it uses less digits than its factorization.

132717577301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16676.

The product of its (nonzero) digits is 216090, while the sum is 44.

The spelling of 132717577301 in words is "one hundred thirty-two billion, seven hundred seventeen million, five hundred seventy-seven thousand, three hundred one".

Divisors: 1 31 199 1433 6169 15013 44423 285167 465403 2987587 8840177 21513629 92615197 666922499 4281212171 132717577301