Base | Representation |
---|---|
bin | 1100010010110010000… |
… | …1001101011111011100 |
3 | 202012010220121221002010 |
4 | 3010230201031133130 |
5 | 11430014234113040 |
6 | 241005111231220 |
7 | 21154511636562 |
oct | 3045441153734 |
9 | 665126557063 |
10 | 211200301020 |
11 | 8162a078125 |
12 | 34b22678510 |
13 | 16bba8a7b27 |
14 | a317811a32 |
15 | 57618cbe80 |
hex | 312c84d7dc |
211200301020 has 192 divisors, whose sum is σ = 612083049984. Its totient is φ = 54385443840.
The previous prime is 211200301003. The next prime is 211200301031. The reversal of 211200301020 is 20103002112.
211200301020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2112003010202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 211200300987 and 211200301005.
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 63 ways as a sum of consecutive naturals, for example, 77333055 + ... + 77335785.
It is an arithmetic number, because the mean of its divisors is an integer number (3187932552).
Almost surely, 2211200301020 is an apocalyptic number.
211200301020 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 211200301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306041524992).
211200301020 is an abundant number, since it is smaller than the sum of its proper divisors (400882748964).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211200301020 is a wasteful number, since it uses less digits than its factorization.
211200301020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3172 (or 3170 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
Adding to 211200301020 its reverse (20103002112), we get a palindrome (231303303132).
The spelling of 211200301020 in words is "two hundred eleven billion, two hundred million, three hundred one thousand, twenty".
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