Search a number
-
+
123444231105 = 35131941812641
BaseRepresentation
bin111001011110111011…
…0010111101111000001
3102210122001002200100110
41302331312113233001
54010303210343410
6132413130141533
711630030436336
oct1627566275701
9383561080313
10123444231105
1148397060a08
121bb112818a9
13b843928840
145d9094898d
153327548720
hex1cbdd97bc1

123444231105 has 64 divisors (see below), whose sum is σ = 229360078080. Its totient is φ = 56169676800.

The previous prime is 123444231091. The next prime is 123444231133. The reversal of 123444231105 is 501132444321.

It is not a de Polignac number, because 123444231105 - 24 = 123444231089 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 254416 + ... + 558225.

It is an arithmetic number, because the mean of its divisors is an integer number (3583751220).

Almost surely, 2123444231105 is an apocalyptic number.

123444231105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123444231105 is a deficient number, since it is larger than the sum of its proper divisors (105915846975).

123444231105 is a wasteful number, since it uses less digits than its factorization.

123444231105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812722.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 123444231105 its reverse (501132444321), we get a palindrome (624576675426).

The spelling of 123444231105 in words is "one hundred twenty-three billion, four hundred forty-four million, two hundred thirty-one thousand, one hundred five".

Divisors: 1 3 5 13 15 19 39 41 57 65 95 123 195 205 247 285 533 615 741 779 1235 1599 2337 2665 3705 3895 7995 10127 11685 30381 50635 151905 812641 2437923 4063205 10564333 12189615 15440179 31692999 33318281 46320537 52821665 77200895 99954843 158464995 166591405 200722327 231602685 433137653 499774215 602166981 633047339 1003611635 1299412959 1899142017 2165688265 3010834905 3165236695 6497064795 8229615407 9495710085 24688846221 41148077035 123444231105