Base | Representation |
---|---|
bin | 1001000111010110111001… |
… | …1010011011000101100100 |
3 | 1022111002120012001002211212 |
4 | 2101311232122123011210 |
5 | 2303200034321401040 |
6 | 33152014235450552 |
7 | 2053031530654562 |
oct | 221655632330544 |
9 | 38432505032755 |
10 | 10022011122020 |
11 | 3214347006857 |
12 | 115a3bb2b6a58 |
13 | 5790c13a2991 |
14 | 2690d4566a32 |
15 | 125a6751bd65 |
hex | 91d6e69b164 |
10022011122020 has 96 divisors (see below), whose sum is σ = 22755856099200. Its totient is φ = 3694654301184.
The previous prime is 10022011122007. The next prime is 10022011122043. The reversal of 10022011122020 is 2022111022001.
10022011122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 10022011121986 and 10022011122004.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108961211 + ... + 109053149.
It is an arithmetic number, because the mean of its divisors is an integer number (237040167700).
Almost surely, 210022011122020 is an apocalyptic number.
10022011122020 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 10022011122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11377928049600).
10022011122020 is an abundant number, since it is smaller than the sum of its proper divisors (12733844977180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022011122020 is a wasteful number, since it uses less digits than its factorization.
10022011122020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 99757 (or 99755 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 10022011122020 its reverse (2022111022001), we get a palindrome (12044122144021).
The spelling of 10022011122020 in words is "ten trillion, twenty-two billion, eleven million, one hundred twenty-two thousand, twenty".
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