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132130312009 is a prime number
BaseRepresentation
bin111101100001110010…
…1001000111101001001
3110122001101111022022121
41323003211020331021
54131100324441014
6140411055051241
712355212056353
oct1730345107511
9418041438277
10132130312009
1151044131073
1221736210b21
13c5c9346697
1465763a60d3
153684db7124
hex1ec3948f49

132130312009 has 2 divisors, whose sum is σ = 132130312010. Its totient is φ = 132130312008.

The previous prime is 132130312007. The next prime is 132130312037. The reversal of 132130312009 is 900213031231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127738334025 + 4391977984 = 357405^2 + 66272^2 .

It is a cyclic number.

It is not a de Polignac number, because 132130312009 - 21 = 132130312007 is a prime.

Together with 132130312007, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (132130312007) 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 as a sum of consecutive naturals, namely, 66065156004 + 66065156005.

It is an arithmetic number, because the mean of its divisors is an integer number (66065156005).

Almost surely, 2132130312009 is an apocalyptic number.

It is an amenable number.

132130312009 is a deficient number, since it is larger than the sum of its proper divisors (1).

132130312009 is an equidigital number, since it uses as much as digits as its factorization.

132130312009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 132130312009 in words is "one hundred thirty-two billion, one hundred thirty million, three hundred twelve thousand, nine".