| Base | Representation |
|---|---|
| bin | 10010101010011111… |
| … | …01001110001100100 |
| 3 | 221212022120212211000 |
| 4 | 21111033221301210 |
| 5 | 131010121214340 |
| 6 | 4334141313300 |
| 7 | 503210312043 |
| oct | 112517516144 |
| 9 | 27768525730 |
| 10 | 10020101220 |
| 11 | 42820a4398 |
| 12 | 1b37865830 |
| 13 | c38c0799c |
| 14 | 6b0ab655a |
| 15 | 3d9a2dd30 |
| hex | 2553e9c64 |
10020101220 has 96 divisors (see below), whose sum is σ = 31228646400. Its totient is φ = 2667313152.
The previous prime is 10020101207. The next prime is 10020101227. The reversal of 10020101220 is 2210102001.
10020101220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×100201012203 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (10020101227) 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, 295501 + ... + 327659.
It is an arithmetic number, because the mean of its divisors is an integer number (325298400).
Almost surely, 210020101220 is an apocalyptic number.
10020101220 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 10020101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614323200).
10020101220 is an abundant number, since it is smaller than the sum of its proper divisors (21208545180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10020101220 is a wasteful number, since it uses less digits than its factorization.
10020101220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32754 (or 32746 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10020101220 its reverse (2210102001), we get a palindrome (12230203221).
The spelling of 10020101220 in words is "ten billion, twenty million, one hundred one thousand, two hundred twenty".
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