Search a number
-
+
11002221120020 = 2251342316235077
BaseRepresentation
bin1010000000011010011101…
…1110110100101000010100
31102221210122201002021011212
42200012213132310220110
52420230022101320040
635222203421520552
72213612203325024
oct240064736645024
942853581067155
1011002221120020
113562019aa4299
121298379713158
1361a67463b860
142a072054da84
151412d6698d65
hexa01a77b4a14

11002221120020 has 24 divisors (see below), whose sum is σ = 24881946225864. Its totient is φ = 4062358567296.

The previous prime is 11002221120013. The next prime is 11002221120073. The reversal of 11002221120020 is 2002112220011.

It can be written as a sum of positive squares in 4 ways, for example, as 1191005534224 + 9811215585796 = 1091332^2 + 3132286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11002221119977 and 11002221120004.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21158117279 + ... + 21158117798.

It is an arithmetic number, because the mean of its divisors is an integer number (1036747759411).

Almost surely, 211002221120020 is an apocalyptic number.

11002221120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002221120020 is an abundant number, since it is smaller than the sum of its proper divisors (13879725105844).

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

11002221120020 is a wasteful number, since it uses less digits than its factorization.

11002221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42316235099 (or 42316235097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11002221120020 its reverse (2002112220011), we get a palindrome (13004333340031).

The spelling of 11002221120020 in words is "eleven trillion, two billion, two hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 42316235077 84632470154 169264940308 211581175385 423162350770 550111056001 846324701540 1100222112002 2200444224004 2750555280005 5501110560010 11002221120020