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104050442033 = 2937731578461
BaseRepresentation
bin110000011100111100…
…0111011111100110001
3100221120110021010011022
41200321320323330301
53201043403121113
6115444454025225
710342316110256
oct1407170737461
9327513233138
10104050442033
114014484215a
12181ba348215
139a72a127c5
145070d8542d
152a8eb25908
hex1839e3bf31

104050442033 has 32 divisors (see below), whose sum is σ = 112788982560. Its totient is φ = 95782901760.

The previous prime is 104050441933. The next prime is 104050442039. The reversal of 104050442033 is 330244050401.

It can be written as a sum of positive squares in 16 ways, for example, as 175085824 + 103875356209 = 13232^2 + 322297^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104050442033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104050441993 and 104050442011.

It is not an unprimeable number, because it can be changed into a prime (104050442039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12293423 + ... + 12301883.

It is an arithmetic number, because the mean of its divisors is an integer number (3524655705).

Almost surely, 2104050442033 is an apocalyptic number.

It is an amenable number.

104050442033 is a deficient number, since it is larger than the sum of its proper divisors (8738540527).

104050442033 is a wasteful number, since it uses less digits than its factorization.

104050442033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757.

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 104050442033 its reverse (330244050401), we get a palindrome (434294492434).

The spelling of 104050442033 in words is "one hundred four billion, fifty million, four hundred forty-two thousand, thirty-three".

Divisors: 1 29 37 73 157 1073 2117 2701 4553 5809 8461 11461 78329 168461 245369 313057 332369 424057 617653 1328377 9078653 12297653 17911937 22853161 38522933 49149949 96971521 662741669 1425348521 2812174109 3587946277 104050442033