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132149386013 is a prime number
BaseRepresentation
bin111101100010010110…
…1111001101100011101
3110122002201101100221012
41323010231321230131
54131120220323023
6140413015545005
712355533150611
oct1730455715435
9418081340835
10132149386013
1151053979707
122174068b165
13c600294488
146578b2d341
1536868d3978
hex1ec4b79b1d

132149386013 has 2 divisors, whose sum is σ = 132149386014. Its totient is φ = 132149386012.

The previous prime is 132149385931. The next prime is 132149386021. The reversal of 132149386013 is 310683941231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117293920324 + 14855465689 = 342482^2 + 121883^2 .

It is a cyclic number.

It is not a de Polignac number, because 132149386013 - 28 = 132149385757 is a prime.

It is a super-2 number, since 2×1321493860132 (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 (132149386613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66074693006 + 66074693007.

It is an arithmetic number, because the mean of its divisors is an integer number (66074693007).

Almost surely, 2132149386013 is an apocalyptic number.

It is an amenable number.

132149386013 is a deficient number, since it is larger than the sum of its proper divisors (1).

132149386013 is an equidigital number, since it uses as much as digits as its factorization.

132149386013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 132149386013 in words is "one hundred thirty-two billion, one hundred forty-nine million, three hundred eighty-six thousand, thirteen".