Search a number
-
+
12423323133 = 331335394083
BaseRepresentation
bin10111001000111110…
…01101110111111101
31012001210200012112000
423210133031313331
5200420332320013
65412430532513
7616601334654
oct134437156775
935053605460
1012423323133
1152a5707601
1224a8667139
13122ca80ca0
1485bd3419b
154ca9de973
hex2e47cddfd

12423323133 has 16 divisors (see below), whose sum is σ = 19820687040. Its totient is φ = 7645121712.

The previous prime is 12423323131. The next prime is 12423323173. The reversal of 12423323133 is 33132332421.

12423323133 is a `hidden beast` number, since 1 + 2 + 423 + 3 + 231 + 3 + 3 = 666.

It is not a de Polignac number, because 12423323133 - 21 = 12423323131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12423323097 and 12423323106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12423323131) 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 15 ways as a sum of consecutive naturals, for example, 17696691 + ... + 17697392.

It is an arithmetic number, because the mean of its divisors is an integer number (1238792940).

Almost surely, 212423323133 is an apocalyptic number.

12423323133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12423323133 is a deficient number, since it is larger than the sum of its proper divisors (7397363907).

12423323133 is a wasteful number, since it uses less digits than its factorization.

12423323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35394105 (or 35394099 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 12423323133 its reverse (33132332421), we get a palindrome (45555655554).

The spelling of 12423323133 in words is "twelve billion, four hundred twenty-three million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 35394083 106182249 318546747 460123079 955640241 1380369237 4141107711 12423323133