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132102132133 is a prime number
BaseRepresentation
bin111101100000111100…
…1101001000110100101
3110121222102110121210111
41323001321221012211
54131021121212013
6140404211053021
712354420411316
oct1730171510645
9417872417714
10132102132133
115102a234114
12217288a1171
13c5c355acba
14657274c60d
15368269c73d
hex1ec1e691a5

132102132133 has 2 divisors, whose sum is σ = 132102132134. Its totient is φ = 132102132132.

The previous prime is 132102132119. The next prime is 132102132137. The reversal of 132102132133 is 331231201231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107228741764 + 24873390369 = 327458^2 + 157713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132102132133 is a prime.

It is a super-2 number, since 2×1321021321332 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132102132137) 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, 66051066066 + 66051066067.

It is an arithmetic number, because the mean of its divisors is an integer number (66051066067).

Almost surely, 2132102132133 is an apocalyptic number.

It is an amenable number.

132102132133 is a deficient number, since it is larger than the sum of its proper divisors (1).

132102132133 is an equidigital number, since it uses as much as digits as its factorization.

132102132133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 132102132133 its reverse (331231201231), we get a palindrome (463333333364).

The spelling of 132102132133 in words is "one hundred thirty-two billion, one hundred two million, one hundred thirty-two thousand, one hundred thirty-three".