Search a number
-
+
3300110330132 = 2271125350936107
BaseRepresentation
bin110000000001011101111…
…001110110100100010100
3102200111011100210122200102
4300001131321312210110
5413032111221031012
611004014425233232
7460265544654560
oct60013571664424
912614140718612
103300110330132
11106262927a700
12453700332818
131ac27847b1c5
14b5a249586a0
155ac9b9482c2
hex3005de76914

3300110330132 has 144 divisors (see below), whose sum is σ = 7406397855360. Its totient is φ = 1258984446720.

The previous prime is 3300110330123. The next prime is 3300110330161. The reversal of 3300110330132 is 2310330110033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91380023 + ... + 91416129.

It is an arithmetic number, because the mean of its divisors is an integer number (51433318440).

Almost surely, 23300110330132 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 3300110330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703198927680).

3300110330132 is an abundant number, since it is smaller than the sum of its proper divisors (4106287525228).

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

3300110330132 is a wasteful number, since it uses less digits than its factorization.

3300110330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36702 (or 36689 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 3300110330132 its reverse (2310330110033), we get a palindrome (5610440440165).

The spelling of 3300110330132 in words is "three trillion, three hundred billion, one hundred ten million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 53 77 106 121 154 212 242 308 371 484 509 583 742 847 1018 1166 1484 1694 2036 2332 3388 3563 4081 5599 6413 7126 8162 11198 12826 14252 16324 22396 25652 26977 36107 39193 44891 53954 61589 72214 78386 89782 107908 123178 144428 156772 179564 188839 246356 252749 296747 377678 397177 431123 505498 593494 755356 794354 862246 1010996 1186988 1588708 1724492 1913671 2077229 2780239 3264217 3827342 4154458 4368947 5560478 6528434 7654684 8308916 8737894 11120956 13056868 13395697 17475788 18378463 21050381 22849519 26791394 30582629 36756926 42100762 45699038 53582788 61165258 73513852 84201524 91398076 122330516 128649241 147352667 202163093 231554191 257298482 294705334 404326186 463108382 514596964 589410668 808652372 926216764 974058539 1415141651 1620879337 1948117078 2223794023 2830283302 3241758674 3896234156 4447588046 5660566604 6483517348 6818409773 8895176092 10714643929 13636819546 15566558161 21429287858 27273639092 31133116322 42858575716 62266232644 75002507503 117861083219 150005015006 235722166438 300010030012 471444332876 825027582533 1650055165066 3300110330132