Search a number
-
+
330110312333312 = 21475035722333
BaseRepresentation
bin100101100001110111100101…
…1111001110100000000000000
31121021211020102020202111110202
41023003233023321310000000
5321232011404424131222
63130030330043344332
7126350453163424430
oct11303571371640000
91537736366674422
10330110312333312
1196201aa7399295
123103570b8220a8
1311227365969674
145b735d266a2c0
152826dd7d78892
hex12c3bcbe74000

330110312333312 has 120 divisors (see below), whose sum is σ = 756014991693696. Its totient is φ = 141194559356928.

The previous prime is 330110312333239. The next prime is 330110312333357. The reversal of 330110312333312 is 213333213011033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54826898 + ... + 60549230.

Almost surely, 2330110312333312 is an apocalyptic number.

330110312333312 is a gapful number since it is divisible by the number (32) 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 330110312333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378007495846848).

330110312333312 is an abundant number, since it is smaller than the sum of its proper divisors (425904679360384).

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

330110312333312 is an frugal number, since it uses more digits than its factorization.

330110312333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722871 (or 5722845 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 29.

Adding to 330110312333312 its reverse (213333213011033), we get a palindrome (543443525344345).

The spelling of 330110312333312 in words is "three hundred thirty trillion, one hundred ten billion, three hundred twelve million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 503 512 896 1006 1024 1792 2012 2048 3521 3584 4024 4096 7042 7168 8048 8192 14084 14336 16096 16384 28168 28672 32192 56336 57344 64384 112672 114688 128768 225344 257536 450688 515072 901376 1030144 1802752 2060288 3605504 4120576 5722333 7211008 8241152 11444666 14422016 22889332 28844032 40056331 45778664 57688064 80112662 91557328 160225324 183114656 320450648 366229312 640901296 732458624 1281802592 1464917248 2563605184 2878333499 2929834496 5127210368 5756666998 5859668992 10254420736 11513333996 11719337984 20148334493 20508841472 23026667992 23438675968 40296668986 41017682944 46053335984 46877351936 80593337972 82035365888 92106671968 93754703872 161186675944 164070731776 184213343936 322373351888 328141463552 368426687872 644746703776 656282927104 736853375744 1289493407552 1473706751488 2578986815104 2947413502976 5157973630208 5894827005952 10315947260416 11789654011904 20631894520832 23579308023808 41263789041664 47158616047616 82527578083328 165055156166656 330110312333312