Search a number
-
+
330332203102132 = 2271119121194657789
BaseRepresentation
bin100101100011011110111010…
…1100111111010111110110100
31121022121110011012101110102201
41023012331311213322332310
5321244130322443232012
63130320304044514244
7126402466636020040
oct11306756547727664
91538543135343381
10330332203102132
11962881119aa070
123107071654b984
13112422682b438a
145b80241bb7020
15282ca73051857
hex12c6f759fafb4

330332203102132 has 96 divisors (see below), whose sum is σ = 758720454912000. Its totient is φ = 121917041965440.

The previous prime is 330332203102021. The next prime is 330332203102133. The reversal of 330332203102132 is 231201302233033.

It is a super-2 number, since 2×3303322031021322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 330332203102132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330332203102133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68591494 + ... + 73249282.

It is an arithmetic number, because the mean of its divisors is an integer number (7903338072000).

Almost surely, 2330332203102132 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 330332203102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379360227456000).

330332203102132 is an abundant number, since it is smaller than the sum of its proper divisors (428388251809868).

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

330332203102132 is a wasteful number, since it uses less digits than its factorization.

330332203102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669949 (or 4669947 counting only the distinct ones).

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

Adding to 330332203102132 its reverse (231201302233033), we get a palindrome (561533505335165).

The spelling of 330332203102132 in words is "three hundred thirty trillion, three hundred thirty-two billion, two hundred three million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5852 12119 24238 48476 84833 133309 169666 230261 266618 339332 460522 533236 921044 933163 1611827 1866326 2532871 3223654 3732652 4657789 5065742 6447308 9315578 10131484 17730097 18631156 32604523 35460194 51235679 65209046 70920388 88497991 102471358 130418092 176995982 204942716 353991964 358649753 619485937 717299506 973477901 1238971874 1434599012 1946955802 2477943748 3893911604 6814345307 13628690614 27257381228 56447744891 112895489782 225790979564 395134214237 620925193801 790268428474 1072507152929 1241850387602 1580536856948 2145014305858 2483700775204 4290028611716 4346476356607 7507550070503 8692952713214 11797578682219 15015100141006 17385905426428 23595157364438 30030200282012 47190314728876 82583050775533 165166101551066 330332203102132