Search a number
-
+
11002110210120 = 2335769631191277
BaseRepresentation
bin1010000000011010000011…
…0111101111000001001000
31102221210100222101110101210
42200012200313233001020
52420224310203210440
635222144420413120
72213606355523401
oct240064067570110
942853328343353
1011002110210120
113561a72431017
1212983485471a0
1361a6576782b3
142a070d91c9a8
151412cba8ba80
hexa01a0def048

11002110210120 has 64 divisors (see below), whose sum is σ = 33006787197120. Its totient is φ = 2933855472384.

The previous prime is 11002110210079. The next prime is 11002110210151. The reversal of 11002110210120 is 2101201120011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11002110210096 and 11002110210105.

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, 8639922 + ... + 9831198.

It is an arithmetic number, because the mean of its divisors is an integer number (515731049955).

Almost surely, 211002110210120 is an apocalyptic number.

11002110210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002110210120 is an abundant number, since it is smaller than the sum of its proper divisors (22004676987000).

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

11002110210120 is a wasteful number, since it uses less digits than its factorization.

11002110210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268254 (or 1268250 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11002110210120 its reverse (2101201120011), we get a palindrome (13103311330131).

The spelling of 11002110210120 in words is "eleven trillion, two billion, one hundred ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 76963 153926 230889 307852 384815 461778 615704 769630 923556 1154445 1191277 1539260 1847112 2308890 2382554 3078520 3573831 4617780 4765108 5956385 7147662 9235560 9530216 11912770 14295324 17869155 23825540 28590648 35738310 47651080 71476620 142953240 91684251751 183368503502 275052755253 366737007004 458421258755 550105510506 733474014008 916842517510 1100211021012 1375263776265 1833685035020 2200422042024 2750527552530 3667370070040 5501055105060 11002110210120