Search a number
-
+
12323312034 = 23112123113789
BaseRepresentation
bin10110111101000011…
…01101000110100010
31011210211111010002020
423132201231012202
5200214231441114
65354455202310
7614245265265
oct133641550642
934724433066
1012323312034
115254208800
12247b076396
131215135417
1484c93ccdc
154c1d36aa9
hex2de86d1a2

12323312034 has 48 divisors (see below), whose sum is σ = 27114890880. Its totient is φ = 3731032800.

The previous prime is 12323312033. The next prime is 12323312039. The reversal of 12323312034 is 43021332321.

12323312034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12323311995 and 12323312013.

It is not an unprimeable number, because it can be changed into a prime (12323312033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 886812 + ... + 900600.

It is an arithmetic number, because the mean of its divisors is an integer number (564893560).

Almost surely, 212323312034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12323312034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13557445440).

12323312034 is an abundant number, since it is smaller than the sum of its proper divisors (14791578846).

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

12323312034 is a wasteful number, since it uses less digits than its factorization.

12323312034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15047 (or 15036 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12323312034 its reverse (43021332321), we get a palindrome (55344644355).

The spelling of 12323312034 in words is "twelve billion, three hundred twenty-three million, three hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1231 2462 3693 7386 13541 13789 27082 27578 40623 41367 81246 82734 148951 151679 297902 303358 446853 455037 893706 910074 1668469 3336938 5005407 10010814 16974259 33948518 50922777 101845554 186716849 373433698 560150547 1120301094 2053885339 4107770678 6161656017 12323312034