Base | Representation |
---|---|
bin | 1100010101110001000… |
… | …0111001011110110010 |
3 | 202021012201220110210200 |
4 | 3011130100321132302 |
5 | 11433134320043442 |
6 | 241220404140030 |
7 | 21213406403400 |
oct | 3053420713662 |
9 | 667181813720 |
10 | 212001331122 |
11 | 81a00251979 |
12 | 35106997616 |
13 | 16cb782b839 |
14 | a391d68470 |
15 | 57abda934c |
hex | 315c4397b2 |
212001331122 has 72 divisors (see below), whose sum is σ = 548771318316. Its totient is φ = 58934723904.
The previous prime is 212001331121. The next prime is 212001331123. The reversal of 212001331122 is 221133100212.
212001331122 is a `hidden beast` number, since 212 + 0 + 0 + 1 + 331 + 122 = 666.
212001331122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (212001331121) and next prime (212001331123).
It can be written as a sum of positive squares in 2 ways, for example, as 204402547881 + 7598783241 = 452109^2 + 87171^2 .
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 = 212001331095 and 212001331104.
It is not an unprimeable number, because it can be changed into a prime (212001331121) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 3215533 + ... + 3280800.
Almost surely, 2212001331122 is an apocalyptic number.
212001331122 is an abundant number, since it is smaller than the sum of its proper divisors (336769987194).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212001331122 is a wasteful number, since it uses less digits than its factorization.
212001331122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6496392 (or 6496382 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 212001331122 its reverse (221133100212), we get a palindrome (433134431334).
The spelling of 212001331122 in words is "two hundred twelve billion, one million, three hundred thirty-one thousand, one hundred twenty-two".
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