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1047413137 is a prime number
BaseRepresentation
bin111110011011100…
…100000110010001
32200222220002201011
4332123210012101
54121114210022
6251533410521
734645602421
oct7633440621
92628802634
101047413137
11498267aa1
12252939a41
13138ccacb4
149d170481
1561e49977
hex3e6e4191

1047413137 has 2 divisors, whose sum is σ = 1047413138. Its totient is φ = 1047413136.

The previous prime is 1047413119. The next prime is 1047413149. The reversal of 1047413137 is 7313147401.

1047413137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 993258256 + 54154881 = 31516^2 + 7359^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1047413137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1047413099 and 1047413108.

It is not a weakly prime, because it can be changed into another prime (1047411137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 523706568 + 523706569.

It is an arithmetic number, because the mean of its divisors is an integer number (523706569).

Almost surely, 21047413137 is an apocalyptic number.

It is an amenable number.

1047413137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1047413137 is an equidigital number, since it uses as much as digits as its factorization.

1047413137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 1047413137 is about 32363.7627138749. The cubic root of 1047413137 is about 1015.5609789350.

The spelling of 1047413137 in words is "one billion, forty-seven million, four hundred thirteen thousand, one hundred thirty-seven".