| Base | Representation |
|---|---|
| bin | 1010000000011010000101… |
| … | …1101000101001000000000 |
| 3 | 1102221210101122210211120221 |
| 4 | 2200012201131011020000 |
| 5 | 2420224320210000000 |
| 6 | 35222145410312424 |
| 7 | 2213606534656333 |
| oct | 240064135051000 |
| 9 | 42853348724527 |
| 10 | 11002120000000 |
| 11 | 3561a77a08328 |
| 12 | 129834b888714 |
| 13 | 61a6596c531c |
| 14 | 2a0710d4a61a |
| 15 | 1412cc87261a |
| hex | a01a1745200 |
11002120000000 has 160 divisors (see below), whose sum is σ = 27478468912752. Its totient is φ = 4400832000000.
The previous prime is 11002119999991. The next prime is 11002120000009. The reversal of 11002120000000 is 2120011.
It is an interprime number because it is at equal distance from previous prime (11002119999991) and next prime (11002120000009).
It can be written as a sum of positive squares in 8 ways, for example, as 10313963479296 + 688156520704 = 3211536^2 + 829552^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is not an unprimeable number, because it can be changed into a prime (11002120000009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39862474 + ... + 40137526.
Almost surely, 211002120000000 is an apocalyptic number.
11002120000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11002120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13739234456376).
11002120000000 is an abundant number, since it is smaller than the sum of its proper divisors (16476348912752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11002120000000 is an frugal number, since it uses more digits than its factorization.
11002120000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 275106 (or 275060 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 7.
Adding to 11002120000000 its reverse (2120011), we get a palindrome (11002122120011).
The spelling of 11002120000000 in words is "eleven trillion, two billion, one hundred twenty million", and thus it is an aban number.
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