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1823005841 is a prime number
BaseRepresentation
bin110110010101000…
…1101110010010001
311201001022021212212
41230222031302101
512213142141331
6500521201505
763114202556
oct15452156221
94631267785
101823005841
118560482a8
1242a630295
132308b66a7
14134184a2d
15aa09ed2b
hex6ca8dc91

1823005841 has 2 divisors, whose sum is σ = 1823005842. Its totient is φ = 1823005840.

The previous prime is 1823005831. The next prime is 1823005903. The reversal of 1823005841 is 1485003281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1017865216 + 805140625 = 31904^2 + 28375^2 .

It is an emirp because it is prime and its reverse (1485003281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1823005841 - 218 = 1822743697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1823005798 and 1823005807.

It is not a weakly prime, because it can be changed into another prime (1823005831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 911502920 + 911502921.

It is an arithmetic number, because the mean of its divisors is an integer number (911502921).

Almost surely, 21823005841 is an apocalyptic number.

It is an amenable number.

1823005841 is a deficient number, since it is larger than the sum of its proper divisors (1).

1823005841 is an equidigital number, since it uses as much as digits as its factorization.

1823005841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1823005841 is about 42696.6724815881. The cubic root of 1823005841 is about 1221.6009263737.

The spelling of 1823005841 in words is "one billion, eight hundred twenty-three million, five thousand, eight hundred forty-one".