Search a number
-
+
330122211312 = 24329632337507
BaseRepresentation
bin1001100110111001101…
…00010010111111110000
31011120002210011220112010
410303130310102333300
520402042241230222
6411353412402520
732564510332365
oct4633464227760
91146083156463
10330122211312
11118005422513
1253b91316440
132519061329a
1411d998c046c
1588c1dc880c
hex4cdcd12ff0

330122211312 has 80 divisors (see below), whose sum is σ = 882386202240. Its totient is φ = 106226593536.

The previous prime is 330122211301. The next prime is 330122211371. The reversal of 330122211312 is 213112221033.

It is a super-2 number, since 2×3301222113122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8782863 + ... + 8820369.

It is an arithmetic number, because the mean of its divisors is an integer number (11029827528).

Almost surely, 2330122211312 is an apocalyptic number.

It is an amenable number.

330122211312 is an abundant number, since it is smaller than the sum of its proper divisors (552263990928).

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

330122211312 is a wasteful number, since it uses less digits than its factorization.

330122211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43870 (or 43864 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 330122211312 its reverse (213112221033), we get a palindrome (543234432345).

The spelling of 330122211312 in words is "three hundred thirty billion, one hundred twenty-two million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 6323 12646 18969 25292 37507 37938 50584 75014 75876 101168 112521 150028 151752 183367 225042 300056 303504 366734 450084 550101 600112 733468 900168 1087703 1100202 1466936 1800336 2175406 2200404 2933872 3263109 4350812 4400808 6526218 8701624 8801616 13052436 17403248 26104872 52209744 237156761 474313522 711470283 948627044 1422940566 1897254088 2845881132 3794508176 5691762264 6877546069 11383524528 13755092138 20632638207 27510184276 41265276414 55020368552 82530552828 110040737104 165061105656 330122211312