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10241134122303 = 337431877671357
BaseRepresentation
bin1001010100000111001100…
…1010010101010100111111
31100021001011020121212011000
42111001303022111110333
52320242320313403203
633440413450101343
72104616564513160
oct225016312252477
940231136555130
1010241134122303
113299271254117
12119497311a853
13593972497026
1427596027d767
1512b5de7254a3
hex9507329553f

10241134122303 has 64 divisors (see below), whose sum is σ = 17752209361920. Its totient is φ = 5712928050816.

The previous prime is 10241134122221. The next prime is 10241134122341. The reversal of 10241134122303 is 30322143114201.

10241134122303 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 13 + 412 + 230 + 3 = 666.

10241134122303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10241134122303 - 216 = 10241134056767 is a prime.

It is a super-2 number, since 2×102411341223032 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241134122353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14918701 + ... + 15590057.

It is an arithmetic number, because the mean of its divisors is an integer number (277378271280).

Almost surely, 210241134122303 is an apocalyptic number.

10241134122303 is a deficient number, since it is larger than the sum of its proper divisors (7511075239617).

10241134122303 is a wasteful number, since it uses less digits than its factorization.

10241134122303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673293 (or 673287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10241134122303 its reverse (30322143114201), we get a palindrome (40563277236504).

The spelling of 10241134122303 in words is "ten trillion, two hundred forty-one billion, one hundred thirty-four million, one hundred twenty-two thousand, three hundred three".

Divisors: 1 3 7 9 21 27 43 63 129 189 301 387 903 1161 1877 2709 5631 8127 13139 16893 39417 50679 80711 118251 242133 354753 564977 671357 726399 1694931 2014071 2179197 4699499 5084793 6042213 14098497 15254379 18126639 28868351 42295491 86605053 126886473 202078457 259815159 606235371 779445477 1260137089 1818706113 3780411267 5456118339 8820959623 11341233801 26462878869 34023701403 54185894827 79388636607 162557684481 238165909821 379301263789 487673053443 1137903791367 1463019160329 3413711374101 10241134122303