Search a number
-
+
12323011032321 = 31110114924813913
BaseRepresentation
bin1011001101010010110010…
…1100011111010100000001
31121122001211211022200121220
42303110230230133110001
53103400011311013241
642113040233305253
72411210462333553
oct263245454372401
947561754280556
1012323011032321
113a21183516290
121470347565229
136b5093971042
14308618c814d3
1516583a86d166
hexb352cb1f501

12323011032321 has 32 divisors (see below), whose sum is σ = 18223338441600. Its totient is φ = 7344917952000.

The previous prime is 12323011032289. The next prime is 12323011032341.

12323011032321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12323011032321 - 25 = 12323011032289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12323011032291 and 12323011032300.

It is not an unprimeable number, because it can be changed into a prime (12323011032341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11910340 + ... + 12903573.

It is an arithmetic number, because the mean of its divisors is an integer number (569479326300).

Almost surely, 212323011032321 is an apocalyptic number.

12323011032321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12323011032321 is a deficient number, since it is larger than the sum of its proper divisors (5900327409279).

12323011032321 is a wasteful number, since it uses less digits than its factorization.

12323011032321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24814177.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1232301 and 1032321, that added together give a palindrome (2264622).

The spelling of 12323011032321 in words is "twelve trillion, three hundred twenty-three billion, eleven million, thirty-two thousand, three hundred twenty-one".

Divisors: 1 3 11 33 101 149 303 447 1111 1639 3333 4917 15049 45147 165539 496617 24813913 74441739 272953043 818859129 2506205213 3697273037 7518615639 11091819111 27568257343 40670003407 82704772029 122010010221 373424576737 1120273730211 4107670344107 12323011032321