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10304221424 = 247175411881
BaseRepresentation
bin10011001100010110…
…11111000011110000
3222121010012200110112
421212023133003300
5132100340041144
64422251120452
7513230302610
oct114613370360
928533180415
1010304221424
114408512082
121bb6a43128
13c82a35853
146da714a40
1540495299e
hex2662df0f0

10304221424 has 40 divisors (see below), whose sum is σ = 24158641248. Its totient is φ = 4156323840.

The previous prime is 10304221423. The next prime is 10304221453. The reversal of 10304221424 is 42412240301.

10304221424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10304221424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10304221423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2704037 + ... + 2707844.

Almost surely, 210304221424 is an apocalyptic number.

10304221424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10304221424 is an abundant number, since it is smaller than the sum of its proper divisors (13854419824).

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

10304221424 is a wasteful number, since it uses less digits than its factorization.

10304221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411913 (or 5411907 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 10304221424 its reverse (42412240301), we get a palindrome (52716461725).

The spelling of 10304221424 in words is "ten billion, three hundred four million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 5411881 10823762 21647524 37883167 43295048 75766334 86590096 92001977 151532668 184003954 303065336 368007908 606130672 644013839 736015816 1288027678 1472031632 2576055356 5152110712 10304221424