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103405410041 = 1017817130973
BaseRepresentation
bin110000001001101110…
…0010101011011111001
3100212220111112002121112
41200103130111123321
53143233241110131
6115300452450105
710320324324443
oct1402334253371
9325814462545
10103405410041
113a94372706a
121805a319935
13999c1aab7b
14500d439493
152a531b002b
hex18137156f9

103405410041 has 8 divisors (see below), whose sum is σ = 104443382664. Its totient is φ = 102367715200.

The previous prime is 103405410013. The next prime is 103405410103. The reversal of 103405410041 is 140014504301.

It can be written as a sum of positive squares in 4 ways, for example, as 29432833600 + 73972576441 = 171560^2 + 271979^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103405410041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103405409989 and 103405410016.

It is not an unprimeable number, because it can be changed into a prime (103405418041) 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 in 7 ways as a sum of consecutive naturals, for example, 724031 + ... + 855003.

It is an arithmetic number, because the mean of its divisors is an integer number (13055422833).

Almost surely, 2103405410041 is an apocalyptic number.

It is an amenable number.

103405410041 is a deficient number, since it is larger than the sum of its proper divisors (1037972623).

103405410041 is a wasteful number, since it uses less digits than its factorization.

103405410041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138891.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 103405410041 its reverse (140014504301), we get a palindrome (243419914342).

The spelling of 103405410041 in words is "one hundred three billion, four hundred five million, four hundred ten thousand, forty-one".

Divisors: 1 101 7817 130973 789517 13228273 1023815941 103405410041