Base | Representation |
---|---|
bin | 1100010011101001010… |
… | …1111000001111100000 |
3 | 202012202002000012100100 |
4 | 3010322111320033200 |
5 | 11431003121231144 |
6 | 241044114022400 |
7 | 21163326100320 |
oct | 3047225701740 |
9 | 665662005310 |
10 | 211432211424 |
11 | 81738a75915 |
12 | 34b88277a00 |
13 | 16c26955815 |
14 | a33a53d280 |
15 | 5776e3b269 |
hex | 313a5783e0 |
211432211424 has 288 divisors, whose sum is σ = 701240379840. Its totient is φ = 59174608896.
The previous prime is 211432211423. The next prime is 211432211437. The reversal of 211432211424 is 424112234112.
211432211424 is a `hidden beast` number, since 2 + 1 + 14 + 3 + 221 + 1 + 424 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×2114322114242 (a number of 23 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211432211423) 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, 91567582 + ... + 91569890.
It is an arithmetic number, because the mean of its divisors is an integer number (2434862430).
Almost surely, 2211432211424 is an apocalyptic number.
211432211424 is a gapful number since it is divisible by the number (24) 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 211432211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350620189920).
211432211424 is an abundant number, since it is smaller than the sum of its proper divisors (489808168416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211432211424 is a wasteful number, since it uses less digits than its factorization.
211432211424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3242 (or 3231 counting only the distinct ones).
The product of its digits is 3072, while the sum is 27.
Adding to 211432211424 its reverse (424112234112), we get a palindrome (635544445536).
The spelling of 211432211424 in words is "two hundred eleven billion, four hundred thirty-two million, two hundred eleven thousand, four hundred twenty-four".
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