Base | Representation |
---|---|
bin | 110000000000001110110111… |
… | …101111000110010011110100 |
3 | 1000200112002022010011112111221 |
4 | 300000032313233012103310 |
5 | 210133011231200341040 |
6 | 2025004111051240124 |
7 | 62320034633462563 |
oct | 6000166757062364 |
9 | 1020462263145457 |
10 | 211122200012020 |
11 | 612a7470a64a30 |
12 | 1b818a91749044 |
13 | 90a597960424b |
14 | 3a1c524783bda |
15 | 1961b8d91e74a |
hex | c003b7bc64f4 |
211122200012020 has 96 divisors (see below), whose sum is σ = 487412673302016. Its totient is φ = 76176468700800.
The previous prime is 211122200011993. The next prime is 211122200012027. The reversal of 211122200012020 is 20210002221112.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 211122200011985 and 211122200012003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211122200012027) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240583687 + ... + 241459633.
It is an arithmetic number, because the mean of its divisors is an integer number (5077215346896).
Almost surely, 2211122200012020 is an apocalyptic number.
211122200012020 is a gapful number since it is divisible by the number (20) 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 211122200012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243706336651008).
211122200012020 is an abundant number, since it is smaller than the sum of its proper divisors (276290473289996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211122200012020 is a wasteful number, since it uses less digits than its factorization.
211122200012020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 884461 (or 884459 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 211122200012020 its reverse (20210002221112), we get a palindrome (231332202233132).
The spelling of 211122200012020 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred million, twelve thousand, twenty".
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