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10422140320 = 25586375479
BaseRepresentation
bin10011011010011010…
…10011110110100000
3222220100002120210001
421231031103312200
5132321031442240
64442102345344
7516161505514
oct115515236640
928810076701
1010422140320
114469032309
12202a42b254
13ca12b1447
1470c24c144
1540ee9689a
hex26d353da0

10422140320 has 48 divisors (see below), whose sum is σ = 24651164160. Its totient is φ = 4163970304.

The previous prime is 10422140297. The next prime is 10422140327. The reversal of 10422140320 is 2304122401.

10422140320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10422140327) 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, 100341 + ... + 175819.

It is an arithmetic number, because the mean of its divisors is an integer number (513565920).

Almost surely, 210422140320 is an apocalyptic number.

10422140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10422140320 is an abundant number, since it is smaller than the sum of its proper divisors (14229023840).

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

10422140320 is an equidigital number, since it uses as much as digits as its factorization.

10422140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76357 (or 76349 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10422140320 its reverse (2304122401), we get a palindrome (12726262721).

The spelling of 10422140320 in words is "ten billion, four hundred twenty-two million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 863 1726 3452 4315 6904 8630 13808 17260 27616 34520 69040 75479 138080 150958 301916 377395 603832 754790 1207664 1509580 2415328 3019160 6038320 12076640 65138377 130276754 260553508 325691885 521107016 651383770 1042214032 1302767540 2084428064 2605535080 5211070160 10422140320