Search a number
-
+
110312330141 = 132314923310627
BaseRepresentation
bin110011010111100100…
…0001001001110011101
3101112201212002222210002
41212233020021032131
53301404424031031
6122402104024045
710653433222646
oct1465710111635
9345655088702
10110312330141
11428684863a2
1219467462025
13a530124040
1454a68866cd
152d0973eccb
hex19af20939d

110312330141 has 32 divisors (see below), whose sum is σ = 125342380800. Its totient is φ = 96321544704.

The previous prime is 110312330129. The next prime is 110312330159. The reversal of 110312330141 is 141033213011.

It is not a de Polignac number, because 110312330141 - 226 = 110245221277 is a prime.

It is a super-2 number, since 2×1103123301412 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110312330041) 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 31 ways as a sum of consecutive naturals, for example, 10375070 + ... + 10385696.

It is an arithmetic number, because the mean of its divisors is an integer number (3916949400).

Almost surely, 2110312330141 is an apocalyptic number.

It is an amenable number.

110312330141 is a deficient number, since it is larger than the sum of its proper divisors (15030050659).

110312330141 is a wasteful number, since it uses less digits than its factorization.

110312330141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 110312330141 its reverse (141033213011), we get a palindrome (251345543152).

The spelling of 110312330141 in words is "one hundred ten billion, three hundred twelve million, three hundred thirty thousand, one hundred forty-one".

Divisors: 1 13 23 149 233 299 1937 3029 3427 5359 10627 34717 44551 69667 138151 244421 451321 798491 1583423 2476091 3177473 10380383 20584499 32189183 36418729 56950093 368937559 473443477 740351209 4796188267 8485563857 110312330141