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1083831841 is a prime number
BaseRepresentation
bin100000010011001…
…1111011000100001
32210112102100210001
41000212133120201
54204430104331
6255314140001
735600263411
oct10046373041
92715370701
101083831841
115068819a4
12262b81601
1314370c721
14a3d30641
1565240561
hex4099f621

1083831841 has 2 divisors, whose sum is σ = 1083831842. Its totient is φ = 1083831840.

The previous prime is 1083831823. The next prime is 1083831851. The reversal of 1083831841 is 1481383801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1010985616 + 72846225 = 31796^2 + 8535^2 .

It is a cyclic number.

It is not a de Polignac number, because 1083831841 - 223 = 1075443233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1083831841.

It is not a weakly prime, because it can be changed into another prime (1083831851) 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, 541915920 + 541915921.

It is an arithmetic number, because the mean of its divisors is an integer number (541915921).

Almost surely, 21083831841 is an apocalyptic number.

It is an amenable number.

1083831841 is a deficient number, since it is larger than the sum of its proper divisors (1).

1083831841 is an equidigital number, since it uses as much as digits as its factorization.

1083831841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1083831841 is about 32921.6014343166. The cubic root of 1083831841 is about 1027.1975350292.

It can be divided in two parts, 108383 and 1841, that added together give a square (110224 = 3322).

The spelling of 1083831841 in words is "one billion, eighty-three million, eight hundred thirty-one thousand, eight hundred forty-one".