Search a number
-
+
331212333232 = 241110119939349
BaseRepresentation
bin1001101000111011100…
…10110010000010110000
31011122220202102211200001
410310131302302002300
520411310324130412
6412053513435344
732633515244404
oct4643562620260
91148822384601
10331212333232
11118514800220
125423640bb54
1325305415a41
14120605ab104
15893795c957
hex4d1dcb20b0

331212333232 has 80 divisors (see below), whose sum is σ = 707424141600. Its totient is φ = 148969728000.

The previous prime is 331212333211. The next prime is 331212333239. The reversal of 331212333232 is 232333212133.

It is a self number, because there is not a number n which added to its sum of digits gives 331212333232.

It is not an unprimeable number, because it can be changed into a prime (331212333239) by changing a digit.

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, 35422894 + ... + 35432242.

It is an arithmetic number, because the mean of its divisors is an integer number (8842801770).

Almost surely, 2331212333232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331212333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353712070800).

331212333232 is an abundant number, since it is smaller than the sum of its proper divisors (376211808368).

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

331212333232 is a wasteful number, since it uses less digits than its factorization.

331212333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462 (or 11456 counting only the distinct ones).

The product of its digits is 11664, while the sum is 28.

Adding to 331212333232 its reverse (232333212133), we get a palindrome (563545545365).

The spelling of 331212333232 in words is "three hundred thirty-one billion, two hundred twelve million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 176 202 404 808 1111 1616 1993 2222 3986 4444 7972 8888 9349 15944 17776 18698 21923 31888 37396 43846 74792 87692 102839 149584 175384 201293 205678 350768 402586 411356 805172 822712 944249 1610344 1645424 1888498 2214223 3220688 3776996 4428446 7553992 8856892 10386739 15107984 17713784 18632557 20773478 35427568 37265114 41546956 74530228 83093912 149060456 166187824 204958127 298120912 409916254 819832508 1639665016 1881888257 3279330032 3763776514 7527553028 15055106056 20700770827 30110212112 41401541654 82803083308 165606166616 331212333232