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45135304129 is a prime number
BaseRepresentation
bin101010000010010001…
…100001010111000001
311022111120001000102201
4222002101201113001
51214414114213004
632422422113201
73155331516646
oct520221412701
9138446030381
1045135304129
1118161780043
1288b787b801
134343c65c66
14228260ddcd
1512927686a4
hexa824615c1

45135304129 has 2 divisors, whose sum is σ = 45135304130. Its totient is φ = 45135304128.

The previous prime is 45135304111. The next prime is 45135304169. The reversal of 45135304129 is 92140353154.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44585167104 + 550137025 = 211152^2 + 23455^2 .

It is a cyclic number.

It is not a de Polignac number, because 45135304129 - 29 = 45135303617 is a prime.

It is not a weakly prime, because it can be changed into another prime (45135304169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22567652064 + 22567652065.

It is an arithmetic number, because the mean of its divisors is an integer number (22567652065).

Almost surely, 245135304129 is an apocalyptic number.

It is an amenable number.

45135304129 is a deficient number, since it is larger than the sum of its proper divisors (1).

45135304129 is an equidigital number, since it uses as much as digits as its factorization.

45135304129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 45135304129 in words is "forty-five billion, one hundred thirty-five million, three hundred four thousand, one hundred twenty-nine".