Search a number
-
+
123323330112 = 26317371021159
BaseRepresentation
bin111001011011010100…
…1001010111001000000
3102210022121121021100220
41302312221022321000
54010031233030422
6132353130543040
711624032003323
oct1626651127100
9383277537326
10123323330112
1148334894234
121ba98897a80
13b8248777a8
145d7c8767ba
15331bb15e5c
hex1cb6a4ae40

123323330112 has 112 divisors (see below), whose sum is σ = 354824507520. Its totient is φ = 37643968512.

The previous prime is 123323330099. The next prime is 123323330131. The reversal of 123323330112 is 211033323321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 389812 + ... + 631347.

It is an arithmetic number, because the mean of its divisors is an integer number (3168075960).

Almost surely, 2123323330112 is an apocalyptic number.

123323330112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123323330112 is an abundant number, since it is smaller than the sum of its proper divisors (231501177408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123323330112 is a wasteful number, since it uses less digits than its factorization.

123323330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021228 (or 1021218 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123323330112 its reverse (211033323321), we get a palindrome (334356653433).

The spelling of 123323330112 in words is "one hundred twenty-three billion, three hundred twenty-three million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 136 148 192 204 222 272 296 408 444 544 592 629 816 888 1088 1184 1258 1632 1776 1887 2368 2516 3264 3552 3774 5032 7104 7548 10064 15096 20128 30192 40256 60384 120768 1021159 2042318 3063477 4084636 6126954 8169272 12253908 16338544 17359703 24507816 32677088 34719406 37782883 49015632 52079109 65354176 69438812 75565766 98031264 104158218 113348649 138877624 151131532 196062528 208316436 226697298 277755248 302263064 416632872 453394596 555510496 604526128 642309011 833265744 906789192 1111020992 1209052256 1284618022 1666531488 1813578384 1926927033 2418104512 2569236044 3333062976 3627156768 3853854066 5138472088 7254313536 7707708132 10276944176 15415416264 20553888352 30830832528 41107776704 61661665056 123323330112