Search a number
-
+
330103301312 = 2641477137699
BaseRepresentation
bin1001100110110111011…
…00001010010011000000
31011120001110121011212202
410303123230022103000
520402022421120222
6411351455212332
732564160523241
oct4633354122300
91146043534782
10330103301312
11117aa5787114
1253b86b170a8
1325189722035
1411d9719acc8
1588c03e0892
hex4cdbb0a4c0

330103301312 has 112 divisors (see below), whose sum is σ = 694973260800. Its totient is φ = 155376076800.

The previous prime is 330103301303. The next prime is 330103301329. The reversal of 330103301312 is 213103301033.

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 15 ways as a sum of consecutive naturals, for example, 8737439 + ... + 8775137.

It is an arithmetic number, because the mean of its divisors is an integer number (6205118400).

Almost surely, 2330103301312 is an apocalyptic number.

330103301312 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 330103301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347486630400).

330103301312 is an abundant number, since it is smaller than the sum of its proper divisors (364869959488).

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

330103301312 is a wasteful number, since it uses less digits than its factorization.

330103301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37870 (or 37860 counting only the distinct ones).

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

Adding to 330103301312 its reverse (213103301033), we get a palindrome (543206602345).

The spelling of 330103301312 in words is "three hundred thirty billion, one hundred three million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 41 47 64 71 82 94 142 164 188 284 328 376 568 656 752 1136 1312 1504 1927 2272 2624 2911 3008 3337 3854 4544 5822 6674 7708 11644 13348 15416 23288 26696 30832 37699 46576 53392 61664 75398 93152 106784 123328 136817 150796 186304 213568 273634 301592 547268 603184 1094536 1206368 1545659 1771853 2189072 2412736 2676629 3091318 3543706 4378144 5353258 6182636 7087412 8756288 10706516 12365272 14174824 21413032 24730544 28349648 42826064 49461088 56699296 72645973 85652128 98922176 109741789 113398592 125801563 145291946 171304256 219483578 251603126 290583892 438967156 503206252 581167784 877934312 1006412504 1162335568 1755868624 2012825008 2324671136 3511737248 4025650016 4649342272 5157864083 7023474496 8051300032 10315728166 20631456332 41262912664 82525825328 165051650656 330103301312