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10111300303 = 134753312241
BaseRepresentation
bin10010110101010111…
…00011001011001111
3222002200012021102211
421122223203023033
5131201443102203
64351200131251
7505365430426
oct113253431317
928080167384
1010111300303
114319624635
121b62306b27
13c51a89640
146bcc562bd
153e2a45c6d
hex25aae32cf

10111300303 has 16 divisors (see below), whose sum is σ = 11330637696. Its totient is φ = 8962536960.

The previous prime is 10111300261. The next prime is 10111300333. The reversal of 10111300303 is 30300311101.

It is a happy number.

It is not a de Polignac number, because 10111300303 - 217 = 10111169231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111300333) 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 15 ways as a sum of consecutive naturals, for example, 123738 + ... + 188503.

It is an arithmetic number, because the mean of its divisors is an integer number (708164856).

Almost surely, 210111300303 is an apocalyptic number.

10111300303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10111300303 is a deficient number, since it is larger than the sum of its proper divisors (1219337393).

10111300303 is a wasteful number, since it uses less digits than its factorization.

10111300303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312354.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10111300303 its reverse (30300311101), we get a palindrome (40411611404).

The spelling of 10111300303 in words is "ten billion, one hundred eleven million, three hundred thousand, three hundred three".

Divisors: 1 13 47 53 611 689 2491 32383 312241 4059133 14675327 16548773 190779251 215134049 777792331 10111300303