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2105683837 is a prime number
BaseRepresentation
bin111110110000010…
…0010111101111101
312102202012211012021
41331200202331331
513303023340322
6544540040141
7103116005635
oct17540427575
95382184167
102105683837
11990670484
124a9233051
1327732ac8a
1415d9296c5
15c4cdb4c7
hex7d822f7d

2105683837 has 2 divisors, whose sum is σ = 2105683838. Its totient is φ = 2105683836.

The previous prime is 2105683817. The next prime is 2105683907. The reversal of 2105683837 is 7383865012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2077445241 + 28238596 = 45579^2 + 5314^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2105683837 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2105683793 and 2105683802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2105683817) 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, 1052841918 + 1052841919.

It is an arithmetic number, because the mean of its divisors is an integer number (1052841919).

Almost surely, 22105683837 is an apocalyptic number.

It is an amenable number.

2105683837 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105683837 is an equidigital number, since it uses as much as digits as its factorization.

2105683837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 2105683837 is about 45887.7307893951. The cubic root of 2105683837 is about 1281.7334580615.

The spelling of 2105683837 in words is "two billion, one hundred five million, six hundred eighty-three thousand, eight hundred thirty-seven".