Base | Representation |
---|---|
bin | 11011110011110110010110… |
… | …000011001010111111000100 |
3 | 121001001202021011220010002200 |
4 | 123303312112003022333010 |
5 | 112012412444040231040 |
6 | 1112044324315234500 |
7 | 34522425165426153 |
oct | 3363662603127704 |
9 | 531052234803080 |
10 | 122310301102020 |
11 | 35a76564392749 |
12 | 11874680448a30 |
13 | 5332a729a2685 |
14 | 222bbc8ba359a |
15 | e2188932a630 |
hex | 6f3d960cafc4 |
122310301102020 has 144 divisors (see below), whose sum is σ = 376099860667440. Its totient is φ = 32168459501568.
The previous prime is 122310301101991. The next prime is 122310301102049. The reversal of 122310301102020 is 20201103013221.
122310301102020 is a `hidden beast` number, since 1 + 2 + 2 + 310 + 301 + 10 + 20 + 20 = 666.
It is an interprime number because it is at equal distance from previous prime (122310301101991) and next prime (122310301102049).
It can be written as a sum of positive squares in 8 ways, for example, as 10420913684736 + 111889387417284 = 3228144^2 + 10577778^2 .
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 = 122310301101984 and 122310301102002.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 644671812 + ... + 644861508.
Almost surely, 2122310301102020 is an apocalyptic number.
122310301102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122310301102020 is an abundant number, since it is smaller than the sum of its proper divisors (253789559565420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122310301102020 is a wasteful number, since it uses less digits than its factorization.
122310301102020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 238854 (or 238849 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 122310301102020 its reverse (20201103013221), we get a palindrome (142511404115241).
The spelling of 122310301102020 in words is "one hundred twenty-two trillion, three hundred ten billion, three hundred one million, one hundred two thousand, twenty".
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