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10305241024 = 261343288049
BaseRepresentation
bin10011001100011110…
…10111111111000000
3222121012010111002111
421212033113333000
5132101120203044
64422325025104
7513242050321
oct114617277700
928535114074
1010305241024
114409049121
121bb7255194
13c83001970
146da8dc448
15404aa4b34
hex2663d7fc0

10305241024 has 56 divisors (see below), whose sum is σ = 22534727600. Its totient is φ = 4645638144.

The previous prime is 10305241021. The next prime is 10305241043. The reversal of 10305241024 is 42014250301.

It is a junction number, because it is equal to n+sod(n) for n = 10305240986 and 10305241004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305241021) 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, 108249 + ... + 179800.

It is an arithmetic number, because the mean of its divisors is an integer number (402405850).

Almost surely, 210305241024 is an apocalyptic number.

It is an amenable number.

10305241024 is an abundant number, since it is smaller than the sum of its proper divisors (12229486576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10305241024 is a wasteful number, since it uses less digits than its factorization.

10305241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288117 (or 288107 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10305241024 its reverse (42014250301), we get a palindrome (52319491325).

The spelling of 10305241024 in words is "ten billion, three hundred five million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 172 208 344 416 559 688 832 1118 1376 2236 2752 4472 8944 17888 35776 288049 576098 1152196 2304392 3744637 4608784 7489274 9217568 12386107 14978548 18435136 24772214 29957096 49544428 59914192 99088856 119828384 161019391 198177712 239656768 322038782 396355424 644077564 792710848 1288155128 2576310256 5152620512 10305241024