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130220213200200 = 233252128535628613
BaseRepresentation
bin11101100110111101000001…
…100011001110010101001000
3122002001221010112222221012200
4131212331001203032111020
5114032011444034401300
61140542201243040200
736300046164055344
oct3546750143162510
9562057115887180
10130220213200200
113854609a576962
1212731671b10060
1357879374a8646
1424229989c2624
15100c4d734e200
hex766f418ce548

130220213200200 has 144 divisors (see below), whose sum is σ = 437356985332020. Its totient is φ = 34722682283520.

The previous prime is 130220213200177. The next prime is 130220213200211. The reversal of 130220213200200 is 2002312022031.

130220213200200 is a `hidden beast` number, since 1 + 30 + 2 + 20 + 213 + 200 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8028280230084 + 122191932970116 = 2833422^2 + 11054046^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20321094 + ... + 25949706.

Almost surely, 2130220213200200 is an apocalyptic number.

130220213200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130220213200200 is an abundant number, since it is smaller than the sum of its proper divisors (307136772131820).

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

130220213200200 is a wasteful number, since it uses less digits than its factorization.

130220213200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5641488 (or 5641476 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130220213200200 its reverse (2002312022031), we get a palindrome (132222525222231).

The spelling of 130220213200200 in words is "one hundred thirty trillion, two hundred twenty billion, two hundred thirteen million, two hundred 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 12853 25706 38559 51412 64265 77118 102824 115677 128530 154236 192795 231354 257060 308472 321325 385590 462708 514120 578385 642650 771180 925416 963975 1156770 1285300 1542360 1927950 2313540 2570600 2891925 3855900 4627080 5628613 5783850 7711800 11257226 11567700 16885839 22514452 23135400 28143065 33771678 45028904 50657517 56286130 67543356 84429195 101315034 112572260 135086712 140715325 168858390 202630068 225144520 253287585 281430650 337716780 405260136 422145975 506575170 562861300 675433560 844291950 1013150340 1125722600 1266437925 1688583900 2026300680 2532875850 3377167800 5065751700 10131503400 72344562889 144689125778 217033688667 289378251556 361722814445 434067377334 578756503112 651101066001 723445628890 868134754668 1085168443335 1302202132002 1446891257780 1736269509336 1808614072225 2170336886670 2604404264004 2893782515560 3255505330005 3617228144450 4340673773340 5208808528008 5425842216675 6511010660010 7234456288900 8681347546680 10851684433350 13022021320020 14468912577800 16277526650025 21703368866700 26044042640040 32555053300050 43406737733400 65110106600100 130220213200200