Base | Representation |
---|---|
bin | 11101101110001011001… |
… | …01100111000011110110 |
3 | 10121121221201202220102000 |
4 | 32313011211213003312 |
5 | 113212430342020042 |
6 | 2101050520200130 |
7 | 133531560434424 |
oct | 16670545470366 |
9 | 3547851686360 |
10 | 1021222220022 |
11 | 364109357a04 |
12 | 145b05309046 |
13 | 753bac47694 |
14 | 375daba4114 |
15 | 1b86e95b74c |
hex | edc59670f6 |
1021222220022 has 128 divisors (see below), whose sum is σ = 2380535308800. Its totient is φ = 324209837952.
The previous prime is 1021222220021. The next prime is 1021222220023. The reversal of 1021222220022 is 2200222221201.
1021222220022 is a `hidden beast` number, since 10 + 212 + 222 + 200 + 22 = 666.
It is an interprime number because it is at equal distance from previous prime (1021222220021) and next prime (1021222220023).
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 = 1021222219977 and 1021222220004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1021222220021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20034304 + ... + 20085212.
It is an arithmetic number, because the mean of its divisors is an integer number (18597932100).
Almost surely, 21021222220022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1021222220022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190267654400).
1021222220022 is an abundant number, since it is smaller than the sum of its proper divisors (1359313088778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1021222220022 is a wasteful number, since it uses less digits than its factorization.
1021222220022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 51179 (or 51173 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 1021222220022 its reverse (2200222221201), we get a palindrome (3221444441223).
The spelling of 1021222220022 in words is "one trillion, twenty-one billion, two hundred twenty-two million, two hundred twenty thousand, twenty-two".
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