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1820040041 is a prime number
BaseRepresentation
bin110110001111011…
…1001101101101001
311200211201121120102
41230132321231221
512211412240131
6500333435145
763050041121
oct15436715551
94624647512
101820040041
11854402026
1242963bab5
132300b8791
14133a11c81
15a9bb61cb
hex6c7b9b69

1820040041 has 2 divisors, whose sum is σ = 1820040042. Its totient is φ = 1820040040.

The previous prime is 1820040031. The next prime is 1820040067. The reversal of 1820040041 is 1400400281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1732224400 + 87815641 = 41620^2 + 9371^2 .

It is a cyclic number.

It is not a de Polignac number, because 1820040041 - 210 = 1820039017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1820039995 and 1820040022.

It is not a weakly prime, because it can be changed into another prime (1820040011) 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, 910020020 + 910020021.

It is an arithmetic number, because the mean of its divisors is an integer number (910020021).

Almost surely, 21820040041 is an apocalyptic number.

It is an amenable number.

1820040041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1820040041 is an equidigital number, since it uses as much as digits as its factorization.

1820040041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1820040041 is about 42661.9273005803. The cubic root of 1820040041 is about 1220.9381033852.

The spelling of 1820040041 in words is "one billion, eight hundred twenty million, forty thousand, forty-one".