Base | Representation |
---|---|
bin | 1001000111010111010011… |
… | …1001110000101000010100 |
3 | 1022111002211202220200101101 |
4 | 2101311310321300220110 |
5 | 2303200300210000040 |
6 | 33152033125235444 |
7 | 2053034322264262 |
oct | 221656471605024 |
9 | 38432752820341 |
10 | 10022120000020 |
11 | 32143a2511477 |
12 | 115a42b862b84 |
13 | 57910ab0442b |
14 | 269104bc9432 |
15 | 125a71d7709a |
hex | 91d74e70a14 |
10022120000020 has 96 divisors (see below), whose sum is σ = 22142597976576. Its totient is φ = 3806016076800.
The previous prime is 10022120000017. The next prime is 10022120000027. The reversal of 10022120000020 is 2000002122001.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 10022119999961 and 10022120000006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022120000027) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9031042 + ... + 10079878.
It is an arithmetic number, because the mean of its divisors is an integer number (230652062256).
Almost surely, 210022120000020 is an apocalyptic number.
10022120000020 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 10022120000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11071298988288).
10022120000020 is an abundant number, since it is smaller than the sum of its proper divisors (12120477976556).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022120000020 is a wasteful number, since it uses less digits than its factorization.
10022120000020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1049201 (or 1049199 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 10022120000020 its reverse (2000002122001), we get a palindrome (12022122122021).
The spelling of 10022120000020 in words is "ten trillion, twenty-two billion, one hundred twenty million, twenty", and thus it is an aban number.
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