Base | Representation |
---|---|
bin | 1100010011001110111… |
… | …0110010110001101000 |
3 | 202012110100022102101100 |
4 | 3010303232302301220 |
5 | 11430241223131440 |
6 | 241025112521400 |
7 | 21160511300505 |
oct | 3046356626150 |
9 | 665410272340 |
10 | 211321302120 |
11 | 81691403035 |
12 | 34b570b0260 |
13 | 16c09992606 |
14 | a32990c4ac |
15 | 576c32e230 |
hex | 3133bb2c68 |
211321302120 has 96 divisors (see below), whose sum is σ = 693594294120. Its totient is φ = 55794393600.
The previous prime is 211321302113. The next prime is 211321302133. The reversal of 211321302120 is 21203123112.
211321302120 is a `hidden beast` number, since 21 + 1 + 321 + 302 + 1 + 20 = 666.
211321302120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 191303013924 + 20018288196 = 437382^2 + 141486^2 .
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 = 211321302093 and 211321302102.
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 23 ways as a sum of consecutive naturals, for example, 2869599 + ... + 2942318.
Almost surely, 2211321302120 is an apocalyptic number.
211321302120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
211321302120 is an abundant number, since it is smaller than the sum of its proper divisors (482272992000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211321302120 is a wasteful number, since it uses less digits than its factorization.
211321302120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5812035 (or 5812028 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 211321302120 its reverse (21203123112), we get a palindrome (232524425232).
The spelling of 211321302120 in words is "two hundred eleven billion, three hundred twenty-one million, three hundred two thousand, one hundred twenty".
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