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11002112000020 = 225550105600001
BaseRepresentation
bin1010000000011010000011…
…1110100100000000010100
31102221210101002202101200101
42200012200332210000110
52420224311133000040
635222144523023444
72213606406656641
oct240064076440024
942853332671611
1011002112000020
113561a73443879
12129834906ab84
1361a657b53bcb
142a070dc66dc8
151412cbce209a
hexa01a0fa4014

11002112000020 has 12 divisors (see below), whose sum is σ = 23104435200084. Its totient is φ = 4400844800000.

The previous prime is 11002111999969. The next prime is 11002112000027. The reversal of 11002112000020 is 2000021120011.

It can be written as a sum of positive squares in 2 ways, for example, as 7697816956036 + 3304295043984 = 2774494^2 + 1817772^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11002111999970 and 11002112000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002112000027) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275052799981 + ... + 275052800020.

It is an arithmetic number, because the mean of its divisors is an integer number (1925369600007).

Almost surely, 211002112000020 is an apocalyptic number.

11002112000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002112000020 is an abundant number, since it is smaller than the sum of its proper divisors (12102323200064).

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

11002112000020 is a wasteful number, since it uses less digits than its factorization.

11002112000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550105600010 (or 550105600008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11002112000020 its reverse (2000021120011), we get a palindrome (13002133120031).

The spelling of 11002112000020 in words is "eleven trillion, two billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 550105600001 1100211200002 2200422400004 2750528000005 5501056000010 11002112000020