Base | Representation |
---|---|
bin | 1001010011000000101111… |
… | …0110100000010100100100 |
3 | 1100012020100011020210120121 |
4 | 2110300023312200110210 |
5 | 2314440102034031040 |
6 | 33424005024211324 |
7 | 2103350110605616 |
oct | 224601366402444 |
9 | 40166304223517 |
10 | 10222221002020 |
11 | 32912462989a5 |
12 | 1191175169b44 |
13 | 591c4a0281b1 |
14 | 274a8847cdb6 |
15 | 12ad840ecc4a |
hex | 94c0bda0524 |
10222221002020 has 96 divisors (see below), whose sum is σ = 22290366309120. Its totient is φ = 3933066600960.
The previous prime is 10222221001999. The next prime is 10222221002029. The reversal of 10222221002020 is 2020012222201.
It is a junction number, because it is equal to n+sod(n) for n = 10222221001985 and 10222221002003.
It is not an unprimeable number, because it can be changed into a prime (10222221002029) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355875379 + ... + 355904101.
It is an arithmetic number, because the mean of its divisors is an integer number (232191315720).
Almost surely, 210222221002020 is an apocalyptic number.
10222221002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10222221002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145183154560).
10222221002020 is an abundant number, since it is smaller than the sum of its proper divisors (12068145307100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10222221002020 is a wasteful number, since it uses less digits than its factorization.
10222221002020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 31045 (or 31043 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
Adding to 10222221002020 its reverse (2020012222201), we get a palindrome (12242233224221).
The spelling of 10222221002020 in words is "ten trillion, two hundred twenty-two billion, two hundred twenty-one million, two thousand, twenty".
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