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10033103241 = 327222750801
BaseRepresentation
bin10010101100000010…
…10000000110001001
3221220020001110020100
421112001100012021
5131021433300431
64335324120013
7503425653600
oct112601200611
927806043210
1010033103241
114289474a67
121b40096009
13c3b80aaa5
146b26dca37
153dac4b4e6
hex256050189

10033103241 has 18 divisors (see below), whose sum is σ = 16858344282. Its totient is φ = 5733201600.

The previous prime is 10033103237. The next prime is 10033103323. The reversal of 10033103241 is 14230133001.

10033103241 is a `hidden beast` number, since 10 + 0 + 331 + 0 + 324 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9169977600 + 863125641 = 95760^2 + 29379^2 .

It is not a de Polignac number, because 10033103241 - 22 = 10033103237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10033107241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11374960 + ... + 11375841.

Almost surely, 210033103241 is an apocalyptic number.

It is an amenable number.

10033103241 is a deficient number, since it is larger than the sum of its proper divisors (6825241041).

10033103241 is a wasteful number, since it uses less digits than its factorization.

10033103241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22750821 (or 22750811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10033103241 its reverse (14230133001), we get a palindrome (24263236242).

The spelling of 10033103241 in words is "ten billion, thirty-three million, one hundred three thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 22750801 68252403 159255607 204757209 477766821 1114789249 1433300463 3344367747 10033103241