Search a number
-
+
123113223321 = 311171063206447
BaseRepresentation
bin111001010101000011…
…1101011010010011001
3102202202222020202000220
41302222013223102121
54004113441121241
6132320223350253
711615601063144
oct1625207532231
9382688222026
10123113223321
1148237228960
121ba3a452389
13b7c019214a
145d5c9c305b
153308462166
hex1caa1eb499

123113223321 has 32 divisors (see below), whose sum is σ = 189786820608. Its totient is φ = 70158608640.

The previous prime is 123113223313. The next prime is 123113223323. The reversal of 123113223321 is 123322311321.

It is not a de Polignac number, because 123113223321 - 23 = 123113223313 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 123113223291 and 123113223300.

It is not an unprimeable number, because it can be changed into a prime (123113223323) 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, 493120 + ... + 699566.

It is an arithmetic number, because the mean of its divisors is an integer number (5930838144).

Almost surely, 2123113223321 is an apocalyptic number.

123113223321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123113223321 is a deficient number, since it is larger than the sum of its proper divisors (66673597287).

123113223321 is a wasteful number, since it uses less digits than its factorization.

123113223321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207541.

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

Adding to 123113223321 its reverse (123322311321), we get a palindrome (246435534642).

The spelling of 123113223321 in words is "one hundred twenty-three billion, one hundred thirteen million, two hundred twenty-three thousand, three hundred twenty-one".

Divisors: 1 3 11 17 33 51 187 561 1063 3189 11693 18071 35079 54213 198781 206447 596343 619341 2270917 3509599 6812751 10528797 38605589 115816767 219453161 658359483 2413984771 3730703737 7241954313 11192111211 41037741107 123113223321