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11131022011000 = 235343258860977
BaseRepresentation
bin1010000111111010010010…
…0111001110101001111000
31110102010010001200110110111
42201332210213032221320
52424332313113323000
635401304303554104
72226122046664513
oct241764447165170
943363101613414
1011131022011000
113601704816031
1212b93248bb934
1362985cc71608
142a6a5c67bd7a
151448240eacba
hexa1fa49cea78

11131022011000 has 64 divisors (see below), whose sum is σ = 26652326294880. Its totient is φ = 4348864396800.

The previous prime is 11131022010959. The next prime is 11131022011001. The reversal of 11131022011000 is 11022013111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131022011001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 129387489 + ... + 129473488.

Almost surely, 211131022011000 is an apocalyptic number.

11131022011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131022011000 is an abundant number, since it is smaller than the sum of its proper divisors (15521304283880).

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

11131022011000 is a wasteful number, since it uses less digits than its factorization.

11131022011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258861041 (or 258861027 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11131022011000 its reverse (11022013111), we get a palindrome (11142044024111).

The spelling of 11131022011000 in words is "eleven trillion, one hundred thirty-one billion, twenty-two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 4300 5375 8600 10750 21500 43000 258860977 517721954 1035443908 1294304885 2070887816 2588609770 5177219540 6471524425 10354439080 11131022011 12943048850 22262044022 25886097700 32357622125 44524088044 51772195400 55655110055 64715244250 89048176088 111310220110 129430488500 222620440220 258860977000 278275550275 445240880440 556551100550 1113102201100 1391377751375 2226204402200 2782755502750 5565511005500 11131022011000