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132233200002 = 2345997193739
BaseRepresentation
bin111101100100110110…
…1101000000110000010
3110122022120002120010000
41323021231220012002
54131303144400002
6140425212220430
712360601440351
oct1731155500602
9418276076100
10132233200002
1151097215372
122176476a716
13c61475b857
146585d09998
15368de3c61c
hex1ec9b68182

132233200002 has 160 divisors (see below), whose sum is σ = 306420206400. Its totient is φ = 42604019712.

The previous prime is 132233199937. The next prime is 132233200013. The reversal of 132233200002 is 200002332231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 79 ways as a sum of consecutive naturals, for example, 178934949 + ... + 178935687.

It is an arithmetic number, because the mean of its divisors is an integer number (1915126290).

Almost surely, 2132233200002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132233200002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153210103200).

132233200002 is an abundant number, since it is smaller than the sum of its proper divisors (174187006398).

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

132233200002 is a wasteful number, since it uses less digits than its factorization.

132233200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 132233200002 its reverse (200002332231), we get a palindrome (332235532233).

The spelling of 132233200002 in words is "one hundred thirty-two billion, two hundred thirty-three million, two hundred thousand, two".

Divisors: 1 2 3 6 9 18 27 54 59 81 97 118 162 177 193 194 291 354 386 531 579 582 739 873 1062 1158 1478 1593 1737 1746 2217 2619 3186 3474 4434 4779 5211 5238 5723 6651 7857 9558 10422 11387 11446 13302 15633 15714 17169 18721 19953 22774 31266 34161 34338 37442 39906 43601 51507 56163 59859 68322 71683 87202 102483 103014 112326 119718 130803 142627 143366 154521 168489 204966 215049 261606 285254 307449 309042 336978 392409 427881 430098 463563 505467 614898 645147 784818 855762 922347 927126 1010934 1104539 1177227 1283643 1290294 1516401 1844694 1935441 2209078 2354454 2567286 3032802 3313617 3531681 3850929 3870882 4229297 5806323 6627234 7063362 7701858 8414993 8458594 9940851 11552787 11612646 12687891 13834819 16829986 19881702 23105574 25244979 25375782 27669638 29822553 38063673 41504457 50489958 59645106 75734937 76127346 83008914 89467659 114191019 124513371 151469874 178935318 227204811 228382038 249026742 342573057 373540113 454409622 681614433 685146114 747080226 816254321 1120620339 1363228866 1632508642 2241240678 2448762963 4897525926 7346288889 14692577778 22038866667 44077733334 66116600001 132233200002