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32121332129 is a prime number
BaseRepresentation
bin11101111010100101…
…001010000110100001
310001220120221201222202
4131322211022012201
51011241030112004
622431211342545
72214665550425
oct357245120641
9101816851882
1032121332129
1112693722287
126285451a55
13304ba11803
1417aa088b85
15c7eea6b1e
hex77a94a1a1

32121332129 has 2 divisors, whose sum is σ = 32121332130. Its totient is φ = 32121332128.

The previous prime is 32121332119. The next prime is 32121332141. The reversal of 32121332129 is 92123312123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26386753600 + 5734578529 = 162440^2 + 75727^2 .

It is an emirp because it is prime and its reverse (92123312123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32121332129 - 212 = 32121328033 is a prime.

It is not a weakly prime, because it can be changed into another prime (32121332119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16060666064 + 16060666065.

It is an arithmetic number, because the mean of its divisors is an integer number (16060666065).

Almost surely, 232121332129 is an apocalyptic number.

It is an amenable number.

32121332129 is a deficient number, since it is larger than the sum of its proper divisors (1).

32121332129 is an equidigital number, since it uses as much as digits as its factorization.

32121332129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

The spelling of 32121332129 in words is "thirty-two billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty-nine".