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330221013013100 = 225211241665633971
BaseRepresentation
bin100101100010101011001001…
…0001011011001001001101100
31121022012211011011121200211002
41023011112102023121021230
5321240320113312404400
63130153234503215432
7126361452353610206
oct11305262213311154
91538184134550732
10330221013013100
1196244a44002500
1231053065147578
13112349283831a1
145b78ad4923776
152829c16729ed5
hex12c55922d926c

330221013013100 has 108 divisors (see below), whose sum is σ = 806856206767464. Its totient is φ = 117151578720000.

The previous prime is 330221013012997. The next prime is 330221013013109. The reversal of 330221013013100 is 1310310122033.

It is a super-3 number, since 3×3302210130131003 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (330221013013109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332320886 + ... + 333313085.

Almost surely, 2330221013013100 is an apocalyptic number.

It is an amenable number.

330221013013100 is an abundant number, since it is smaller than the sum of its proper divisors (476635193754364).

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

330221013013100 is a wasteful number, since it uses less digits than its factorization.

330221013013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665634048 (or 665634030 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 330221013013100 its reverse (1310310122033), we get a palindrome (331531323135133).

The spelling of 330221013013100 in words is "three hundred thirty trillion, two hundred twenty-one billion, thirteen million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 121 164 205 220 242 275 410 451 484 550 605 820 902 1025 1100 1210 1804 2050 2255 2420 3025 4100 4510 4961 6050 9020 9922 11275 12100 19844 22550 24805 45100 49610 99220 124025 248050 496100 665633971 1331267942 2662535884 3328169855 6656339710 7321973681 13312679420 14643947362 16640849275 27290992811 29287894724 33281698550 36609868405 54581985622 66563397100 73219736810 80541710491 109163971244 136454964055 146439473620 161083420982 183049342025 272909928110 300200920921 322166841964 366098684050 402708552455 545819856220 600401841842 682274820275 732197368100 805417104910 1200803683684 1364549640550 1501004604605 1610834209820 2013542762275 2729099281100 3002009209210 3302210130131 4027085524550 6004018418420 6604420260262 7505023023025 8054171049100 13208840520524 15010046046050 16511050650655 30020092092100 33022101301310 66044202602620 82555253253275 165110506506550 330221013013100