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1047730133 is a prime number
BaseRepresentation
bin111110011100110…
…001011111010101
32201000111012112202
4332130301133111
54121204331013
6251544254245
734651362542
oct7634613725
92630435482
101047730133
1149846417a
12252a71385
131390ac378
149d213bc9
1561ead858
hex3e7317d5

1047730133 has 2 divisors, whose sum is σ = 1047730134. Its totient is φ = 1047730132.

The previous prime is 1047730087. The next prime is 1047730141. The reversal of 1047730133 is 3310377401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 972005329 + 75724804 = 31177^2 + 8702^2 .

It is an emirp because it is prime and its reverse (3310377401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1047730133 - 26 = 1047730069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1047730096 and 1047730105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1047730163) 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, 523865066 + 523865067.

It is an arithmetic number, because the mean of its divisors is an integer number (523865067).

Almost surely, 21047730133 is an apocalyptic number.

It is an amenable number.

1047730133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1047730133 is an equidigital number, since it uses as much as digits as its factorization.

1047730133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 1047730133 is about 32368.6597343789. The cubic root of 1047730133 is about 1015.6634206190.

The spelling of 1047730133 in words is "one billion, forty-seven million, seven hundred thirty thousand, one hundred thirty-three".