Base | Representation |
---|---|
bin | 110000000001100001110001… |
… | …001101100010000101111100 |
3 | 1000200211121001110021101012200 |
4 | 300001201301031202011330 |
5 | 210140441030021333040 |
6 | 2025113031344231500 |
7 | 62326335464434155 |
oct | 6001416115420574 |
9 | 1020747043241180 |
10 | 211211211121020 |
11 | 6133119845a630 |
12 | 1b83219330b590 |
13 | 90b11935a8906 |
14 | 3a2296a1c692c |
15 | 196414d061630 |
hex | c0187136217c |
211211211121020 has 144 divisors (see below), whose sum is σ = 698949447487200. Its totient is φ = 51200347968000.
The previous prime is 211211211120989. The next prime is 211211211121037. The reversal of 211211211121020 is 20121112112112.
It is a happy number.
211211211121020 is a `hidden beast` number, since 2 + 11 + 211 + 211 + 1 + 210 + 20 = 666.
It is a super-2 number, since 2×2112112111210202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 211211211120984 and 211211211121002.
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 47 ways as a sum of consecutive naturals, for example, 40510206 + ... + 45425754.
It is an arithmetic number, because the mean of its divisors is an integer number (4853815607550).
Almost surely, 2211211211121020 is an apocalyptic number.
211211211121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
211211211121020 is an abundant number, since it is smaller than the sum of its proper divisors (487738236366180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211211211121020 is a wasteful number, since it uses less digits than its factorization.
211211211121020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4937276 (or 4937271 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
Adding to 211211211121020 its reverse (20121112112112), we get a palindrome (231332323233132).
The spelling of 211211211121020 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, twenty".
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