Search a number
-
+
123131324343 = 31723409925609
BaseRepresentation
bin111001010101100110…
…0101110011110110111
3102202211020022100222010
41302223030232132313
54004133104334333
6132322111335303
711616210662616
oct1625314563667
9382736270863
10123131324343
1148246471485
121ba44521533
13b7c3b5c101
145d6117587d
153309d3a563
hex1cab32e7b7

123131324343 has 32 divisors (see below), whose sum is σ = 181441728000. Its totient is φ = 73878875136.

The previous prime is 123131324333. The next prime is 123131324357. The reversal of 123131324343 is 343423131321.

It is not a de Polignac number, because 123131324343 - 25 = 123131324311 is a prime.

It is a super-2 number, since 2×1231313243432 (a number of 23 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 123131324343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123131324333) 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 31 ways as a sum of consecutive naturals, for example, 4795323 + ... + 4820931.

It is an arithmetic number, because the mean of its divisors is an integer number (5670054000).

Almost surely, 2123131324343 is an apocalyptic number.

123131324343 is a deficient number, since it is larger than the sum of its proper divisors (58310403657).

123131324343 is a wasteful number, since it uses less digits than its factorization.

123131324343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29751.

The product of its digits is 15552, while the sum is 30.

Adding to 123131324343 its reverse (343423131321), we get a palindrome (466554455664).

The spelling of 123131324343 in words is "one hundred twenty-three billion, one hundred thirty-one million, three hundred twenty-four thousand, three hundred forty-three".

Divisors: 1 3 17 23 51 69 391 1173 4099 12297 25609 69683 76827 94277 209049 282831 435353 589007 1306059 1602709 1767021 4808127 10013119 30039357 104971291 314913873 1784511947 2414339693 5353535841 7243019079 41043774781 123131324343