Search a number
-
+
10003102330304 = 261926930580801
BaseRepresentation
bin1001000110010000011101…
…0111000110110111000000
31022102021202101210221221202
42101210013113012313000
52302342323144032204
633135210050440332
72051462125616126
oct221440727066700
938367671727852
1010003102330304
113207323537766
1211568028930a8
13577399abb125
1426821d171916
1512530c49be1e
hex919075c6dc0

10003102330304 has 56 divisors (see below), whose sum is σ = 20972314011600. Its totient is φ = 4720696934400.

The previous prime is 10003102330303. The next prime is 10003102330387. The reversal of 10003102330304 is 40303320130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003102330303) 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, 14963297 + ... + 15617504.

It is an arithmetic number, because the mean of its divisors is an integer number (374505607350).

Almost surely, 210003102330304 is an apocalyptic number.

It is an amenable number.

10003102330304 is an abundant number, since it is smaller than the sum of its proper divisors (10969211681296).

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

10003102330304 is a wasteful number, since it uses less digits than its factorization.

10003102330304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30581101 (or 30581091 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10003102330304 its reverse (40303320130001), we get a palindrome (50306422460305).

The spelling of 10003102330304 in words is "ten trillion, three billion, one hundred two million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 269 304 538 608 1076 1216 2152 4304 5111 8608 10222 17216 20444 40888 81776 163552 327104 30580801 61161602 122323204 244646408 489292816 581035219 978585632 1162070438 1957171264 2324140876 4648281752 8226235469 9296563504 16452470938 18593127008 32904941876 37186254016 65809883752 131619767504 156298473911 263239535008 312596947822 526479070016 625193895644 1250387791288 2500775582576 5001551165152 10003102330304