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331100130202200 = 233252553133257009
BaseRepresentation
bin100101101001000100100000…
…1101001010101001001011000
31121102022212022100201001220200
41023102021001221111021120
5321344221031312432300
63132105144443422200
7126512123612456142
oct11322110151251130
91542285270631820
10331100130202200
119655385a811397
123117550b824960
13112997ba5a8b48
145ba949069dc92
152842a1a757200
hex12d2241a55258

331100130202200 has 144 divisors (see below), whose sum is σ = 1112145675989400. Its totient is φ = 88277402035200.

The previous prime is 331100130202157. The next prime is 331100130202229. The reversal of 331100130202200 is 2202031001133.

331100130202200 is a `hidden beast` number, since 3 + 31 + 100 + 130 + 202 + 200 = 666.

It is a super-2 number, since 2×3311001302022002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 6672705 + ... + 26584304.

Almost surely, 2331100130202200 is an apocalyptic number.

331100130202200 is a gapful number since it is divisible by the number (30) 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 331100130202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556072837994700).

331100130202200 is an abundant number, since it is smaller than the sum of its proper divisors (781045545787200).

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

331100130202200 is a wasteful number, since it uses less digits than its factorization.

331100130202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33262562 (or 33262550 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331100130202200 its reverse (2202031001133), we get a palindrome (333302161203333).

The spelling of 331100130202200 in words is "three hundred thirty-one trillion, one hundred billion, one hundred thirty million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 5531 11062 16593 22124 27655 33186 44248 49779 55310 66372 82965 99558 110620 132744 138275 165930 199116 221240 248895 276550 331860 398232 414825 497790 553100 663720 829650 995580 1106200 1244475 1659300 1991160 2488950 3318600 4977900 9955800 33257009 66514018 99771027 133028036 166285045 199542054 266056072 299313081 332570090 399084108 498855135 598626162 665140180 798168216 831425225 997710270 1197252324 1330280360 1496565405 1662850450 1995420540 2394504648 2494275675 2993130810 3325700900 3990841080 4988551350 5986261620 6651401800 7482827025 9977102700 11972523240 14965654050 19954205400 29931308100 59862616200 183944516779 367889033558 551833550337 735778067116 919722583895 1103667100674 1471556134232 1655500651011 1839445167790 2207334201348 2759167751685 3311001302022 3678890335580 4414668402696 4598612919475 5518335503370 6622002604044 7357780671160 8277503255055 9197225838950 11036671006740 13244005208088 13795838758425 16555006510110 18394451677900 22073342013480 27591677516850 33110013020220 36788903355800 41387516275275 55183355033700 66220026040440 82775032550550 110366710067400 165550065101100 331100130202200