Base | Representation |
---|---|
bin | 1001010010111111111011… |
… | …0011111000100100110010 |
3 | 1100012012202220120001220000 |
4 | 2110233332303320210302 |
5 | 2314434130031223442 |
6 | 33423531210530430 |
7 | 2103341513116362 |
oct | 224577663704462 |
9 | 40165686501800 |
10 | 10222002211122 |
11 | 3291143841079 |
12 | 1191113a36a16 |
13 | 591c138c1c20 |
14 | 274a673a89a2 |
15 | 12ad6ecd0d4c |
hex | 94bfecf8932 |
10222002211122 has 80 divisors (see below), whose sum is σ = 25240414879680. Its totient is φ = 3072086504928.
The previous prime is 10222002211117. The next prime is 10222002211123. The reversal of 10222002211122 is 22111220022201.
It is a happy number.
10222002211122 is a `hidden beast` number, since 102 + 220 + 0 + 221 + 1 + 122 = 666.
It is a super-3 number, since 3×102220022111223 (a number of 40 digits) contains 333 as substring.
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 = 10222002211095 and 10222002211104.
It is not an unprimeable number, because it can be changed into a prime (10222002211123) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56348422 + ... + 56529537.
It is an arithmetic number, because the mean of its divisors is an integer number (315505185996).
Almost surely, 210222002211122 is an apocalyptic number.
10222002211122 is an abundant number, since it is smaller than the sum of its proper divisors (15018412668558).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10222002211122 is a wasteful number, since it uses less digits than its factorization.
10222002211122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112878029 (or 112878020 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 10222002211122 its reverse (22111220022201), we get a palindrome (32333222233323).
The spelling of 10222002211122 in words is "ten trillion, two hundred twenty-two billion, two million, two hundred eleven thousand, one hundred twenty-two".
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