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4083644101 is a prime number
BaseRepresentation
bin1111001101100111…
…0111011011000101
3101112121002121120211
43303121313123011
531330403102401
61513114355421
7203124254635
oct36331673305
911477077524
104083644101
111806124289
1295b72bb71
13501059674
142aa4c86c5
1518d798951
hexf36776c5

4083644101 has 2 divisors, whose sum is σ = 4083644102. Its totient is φ = 4083644100.

The previous prime is 4083644093. The next prime is 4083644161. The reversal of 4083644101 is 1014463804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3698464225 + 385179876 = 60815^2 + 19626^2 .

It is a cyclic number.

It is not a de Polignac number, because 4083644101 - 23 = 4083644093 is a prime.

It is a super-3 number, since 3×40836441013 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4083644161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2041822050 + 2041822051.

It is an arithmetic number, because the mean of its divisors is an integer number (2041822051).

Almost surely, 24083644101 is an apocalyptic number.

It is an amenable number.

4083644101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4083644101 is an equidigital number, since it uses as much as digits as its factorization.

4083644101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4083644101 is about 63903.3966311651. The cubic root of 4083644101 is about 1598.3895385369.

The spelling of 4083644101 in words is "four billion, eighty-three million, six hundred forty-four thousand, one hundred one".