Search a number
-
+
12023333232 = 2431753317877
BaseRepresentation
bin10110011001010010…
…11000000101110000
31011000221000121112020
423030221120011300
5144110433130412
65305021431440
7603643434441
oct131451300560
934027017466
1012023333232
11510a949239
1223b670b580
131197c44181
14820b732c8
154a582e18c
hex2cca58170

12023333232 has 160 divisors (see below), whose sum is σ = 33651899712. Its totient is φ = 3684974592.

The previous prime is 12023333221. The next prime is 12023333251. The reversal of 12023333232 is 23233332021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13709178 + ... + 13710054.

Almost surely, 212023333232 is an apocalyptic number.

12023333232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825949856).

12023333232 is an abundant number, since it is smaller than the sum of its proper divisors (21628566480).

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

12023333232 is a wasteful number, since it uses less digits than its factorization.

12023333232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 12023333232 its reverse (23233332021), we get a palindrome (35256665253).

The spelling of 12023333232 in words is "twelve billion, twenty-three million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 317 318 408 424 634 636 816 848 877 901 951 1268 1272 1754 1802 1902 2536 2544 2631 2703 3508 3604 3804 5072 5262 5389 5406 7016 7208 7608 10524 10778 10812 14032 14416 14909 15216 16167 16801 21048 21556 21624 29818 32334 33602 42096 43112 43248 44727 46481 50403 59636 64668 67204 86224 89454 92962 100806 119272 129336 134408 139443 178908 185924 201612 238544 258672 268816 278009 278886 285617 357816 371848 403224 556018 557772 571234 715632 743696 790177 806448 834027 856851 1112036 1115544 1142468 1580354 1668054 1713702 2224072 2231088 2284936 2370531 3160708 3336108 3427404 4448144 4569872 4726153 4741062 6321416 6672216 6854808 9452306 9482124 12642832 13344432 13709616 14178459 14734477 18904612 18964248 28356918 29468954 37809224 37928496 44203431 56713836 58937908 75618448 88406862 113427672 117875816 176813724 226855344 235751632 250486109 353627448 500972218 707254896 751458327 1001944436 1502916654 2003888872 3005833308 4007777744 6011666616 12023333232