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221131301331300 = 223522273247155673
BaseRepresentation
bin110010010001111000100100…
…101010100010000101100100
31001222221221112121010201021120
4302101320210222202011210
5212441003401120100200
62102150152321213540
764402131535106553
oct6221704452420544
91058857477121246
10221131301331300
11645062927a1918
12209748894912b0
1396507911c5b99
143c86b5253dd9a
151a871ec8a49a0
hexc91e24aa2164

221131301331300 has 72 divisors (see below), whose sum is σ = 642625096507296. Its totient is φ = 58708574549760.

The previous prime is 221131301331271. The next prime is 221131301331313. The reversal of 221131301331300 is 3133103131122.

It is a super-3 number, since 3×2211313013313003 (a number of 44 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1623509737 + ... + 1623645936.

Almost surely, 2221131301331300 is an apocalyptic number.

221131301331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221131301331300 is an abundant number, since it is smaller than the sum of its proper divisors (421493795175996).

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

221131301331300 is a wasteful number, since it uses less digits than its factorization.

221131301331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247155917 (or 3247155910 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 221131301331300 its reverse (3133103131122), we get a palindrome (224264404462422).

The spelling of 221131301331300 in words is "two hundred twenty-one trillion, one hundred thirty-one billion, three hundred one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 227 300 454 681 908 1135 1362 2270 2724 3405 4540 5675 6810 11350 13620 17025 22700 34050 68100 3247155673 6494311346 9741467019 12988622692 16235778365 19482934038 32471556730 38965868076 48707335095 64943113460 81178891825 97414670190 162357783650 194829340380 243536675475 324715567300 487073350950 737104337771 974146701900 1474208675542 2211313013313 2948417351084 3685521688855 4422626026626 7371043377710 8845252053252 11056565066565 14742086755420 18427608444275 22113130133130 36855216888550 44226260266260 55282825332825 73710433777100 110565650665650 221131301331300