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11002022012000 = 255318115196163
BaseRepresentation
bin1010000000011001101110…
…0111010010010001100000
31102221210010211102112022202
42200012123213102101200
52420224120113341000
635222131550152332
72213604235044125
oct240063347222140
942853124375282
1011002022012000
113561a27670508
121298322ab26a8
1361a642307566
142a0701d2074c
151412c3e68dd5
hexa019b9d2460

11002022012000 has 96 divisors (see below), whose sum is σ = 27181317762144. Its totient is φ = 4376494656000.

The previous prime is 11002022011999. The next prime is 11002022012039. The reversal of 11002022012000 is 21022020011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6874082 + ... + 8322081.

It is an arithmetic number, because the mean of its divisors is an integer number (283138726689).

Almost surely, 211002022012000 is an apocalyptic number.

11002022012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002022012000 is an abundant number, since it is smaller than the sum of its proper divisors (16179295750144).

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

11002022012000 is a wasteful number, since it uses less digits than its factorization.

11002022012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15196369 (or 15196351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11002022012000 its reverse (21022020011), we get a palindrome (11023044032011).

The spelling of 11002022012000 in words is "eleven trillion, two billion, twenty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 181 200 250 362 400 500 724 800 905 1000 1448 1810 2000 2896 3620 4000 4525 5792 7240 9050 14480 18100 22625 28960 36200 45250 72400 90500 144800 181000 362000 724000 15196163 30392326 60784652 75980815 121569304 151961630 243138608 303923260 379904075 486277216 607846520 759808150 1215693040 1519616300 1899520375 2431386080 2750505503 3039232600 3799040750 5501011006 6078465200 7598081500 11002022012 12156930400 13752527515 15196163000 22004044024 27505055030 30392326000 44008088048 55010110060 60784652000 68762637575 88016176096 110020220120 137525275150 220040440240 275050550300 343813187875 440080880480 550101100600 687626375750 1100202201200 1375252751500 2200404402400 2750505503000 5501011006000 11002022012000