Base | Representation |
---|---|
bin | 1100010010110101011… |
… | …1001001101000111100 |
3 | 202012011220020022111211 |
4 | 3010231113021220330 |
5 | 11430031344103040 |
6 | 241010334254204 |
7 | 21155043061222 |
oct | 3045527115074 |
9 | 665156208454 |
10 | 211214441020 |
11 | 81637055780 |
12 | 34b27357364 |
13 | 16bc07b8bab |
14 | a319652b12 |
15 | 5762c718ea |
hex | 312d5c9a3c |
211214441020 has 96 divisors (see below), whose sum is σ = 500142988800. Its totient is φ = 74265427200.
The previous prime is 211214441017. The next prime is 211214441033. The reversal of 211214441020 is 20144412112.
211214441020 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 2×2112144410202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 211214440982 and 211214441000.
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 31 ways as a sum of consecutive naturals, for example, 658401 + ... + 925159.
It is an arithmetic number, because the mean of its divisors is an integer number (5209822800).
Almost surely, 2211214441020 is an apocalyptic number.
211214441020 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 211214441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250071494400).
211214441020 is an abundant number, since it is smaller than the sum of its proper divisors (288928547780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211214441020 is a wasteful number, since it uses less digits than its factorization.
211214441020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 266899 (or 266897 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 22.
Adding to 211214441020 its reverse (20144412112), we get a palindrome (231358853132).
The spelling of 211214441020 in words is "two hundred eleven billion, two hundred fourteen million, four hundred forty-one thousand, twenty".
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