Search a number
-
+
110303223120431 = 11199261719254787
BaseRepresentation
bin11001000101000111111000…
…011011101000001000101111
3112110112212220021100021212222
4121011013320123220020233
5103424202000104323211
61030332333503345555
732143100460515615
oct3105077033501057
9473485807307788
10110303223120431
1132167374941590
12104556062b22bb
13497171aaa5403
141d349c11696b5
15cb438ed3a1db
hex6451f86e822f

110303223120431 has 16 divisors (see below), whose sum is σ = 120981683961600. Its totient is φ = 99733629948480.

The previous prime is 110303223120373. The next prime is 110303223120473. The reversal of 110303223120431 is 134021322303011.

It is a happy number.

It is not a de Polignac number, because 110303223120431 - 234 = 110286043251247 is a prime.

It is a super-2 number, since 2×1103032231204312 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110303223120431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110303223120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3898781 + ... + 15356006.

It is an arithmetic number, because the mean of its divisors is an integer number (7561355247600).

Almost surely, 2110303223120431 is an apocalyptic number.

110303223120431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110303223120431 is a deficient number, since it is larger than the sum of its proper divisors (10678460841169).

110303223120431 is a wasteful number, since it uses less digits than its factorization.

110303223120431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19257614.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 110303223120431 its reverse (134021322303011), we get a palindrome (244324545423442).

The spelling of 110303223120431 in words is "one hundred ten trillion, three hundred three billion, two hundred twenty-three million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 11 199 2189 2617 28787 520783 5728613 19254787 211802657 3831702613 42148728743 50389777579 554287553369 10027565738221 110303223120431