Base | Representation |
---|---|
bin | 1100010010100001110… |
… | …0101010110000101010 |
3 | 202011222011002221111200 |
4 | 3010220130222300222 |
5 | 11424344243020242 |
6 | 240554231305030 |
7 | 21153022254234 |
oct | 3045034526052 |
9 | 664864087450 |
10 | 211132001322 |
11 | 815a45685a0 |
12 | 34b0381b176 |
13 | 16ba96b31c8 |
14 | a30c713254 |
15 | 575a8da04c |
hex | 312872ac2a |
211132001322 has 96 divisors (see below), whose sum is σ = 512897958144. Its totient is φ = 62205148800.
The previous prime is 211132001321. The next prime is 211132001371. The reversal of 211132001322 is 223100231112.
211132001322 is a `hidden beast` number, since 21 + 1 + 1 + 320 + 0 + 1 + 322 = 666.
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 = 211132001295 and 211132001304.
It is not an unprimeable number, because it can be changed into a prime (211132001321) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10884072 + ... + 10903452.
It is an arithmetic number, because the mean of its divisors is an integer number (5342687064).
Almost surely, 2211132001322 is an apocalyptic number.
211132001322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 211132001322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256448979072).
211132001322 is an abundant number, since it is smaller than the sum of its proper divisors (301765956822).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211132001322 is a wasteful number, since it uses less digits than its factorization.
211132001322 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20924 (or 20921 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 211132001322 its reverse (223100231112), we get a palindrome (434232232434).
The spelling of 211132001322 in words is "two hundred eleven billion, one hundred thirty-two million, one thousand, three hundred twenty-two".
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