Search a number
-
+
123213213123 = 371113229432531
BaseRepresentation
bin111001011000000010…
…1000110110111000011
3102210000221101202020220
41302300011012313003
54004320040304443
6132334154434123
711621224013460
oct1626005066703
9383027352226
10123213213123
1148288712760
121ba67a32943
13b807b01100
145d6bdb0667
153312113a83
hex1cb0146dc3

123213213123 has 192 divisors, whose sum is σ = 234865889280. Its totient is φ = 55697241600.

The previous prime is 123213213089. The next prime is 123213213131. The reversal of 123213213123 is 321312312321.

It is not a de Polignac number, because 123213213123 - 210 = 123213212099 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123213213093 and 123213213102.

It is not an unprimeable number, because it can be changed into a prime (123213213133) 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 191 ways as a sum of consecutive naturals, for example, 48680368 + ... + 48682898.

It is an arithmetic number, because the mean of its divisors is an integer number (1223259840).

Almost surely, 2123213213123 is an apocalyptic number.

123213213123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123213213123 is a deficient number, since it is larger than the sum of its proper divisors (111652676157).

123213213123 is a wasteful number, since it uses less digits than its factorization.

123213213123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2637 counting only the distinct ones).

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

Adding to 123213213123 its reverse (321312312321), we get a palindrome (444525525444).

The spelling of 123213213123 in words is "one hundred twenty-three billion, two hundred thirteen million, two hundred thirteen thousand, one hundred twenty-three".