Base | Representation |
---|---|
bin | 1001010010111100101000… |
… | …1110100001000000010100 |
3 | 1100012010111102112002202202 |
4 | 2110233022032201000110 |
5 | 2314430323210000040 |
6 | 33423303454024032 |
7 | 2103310611340346 |
oct | 224571216410024 |
9 | 40163442462682 |
10 | 10221120000020 |
11 | 3290830859896 |
12 | 1190b084a8018 |
13 | 591b02bb6417 |
14 | 2749c215d296 |
15 | 12ad1c61a015 |
hex | 94bca3a1014 |
10221120000020 has 48 divisors (see below), whose sum is σ = 22713043707648. Its totient is φ = 3855609246720.
The previous prime is 10221119999941. The next prime is 10221120000023. The reversal of 10221120000020 is 2000002112201.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 10221119999956 and 10221120000010.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10221120000023) 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 15 ways as a sum of consecutive naturals, for example, 156444989 + ... + 156510308.
It is an arithmetic number, because the mean of its divisors is an integer number (473188410576).
Almost surely, 210221120000020 is an apocalyptic number.
10221120000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10221120000020 is an abundant number, since it is smaller than the sum of its proper divisors (12491923707628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10221120000020 is a wasteful number, since it uses less digits than its factorization.
10221120000020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 312955400 (or 312955398 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
Adding to 10221120000020 its reverse (2000002112201), we get a palindrome (12221122112221).
The spelling of 10221120000020 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty million, twenty", and thus it is an aban number.
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