| Base | Representation |
|---|---|
| bin | 11000000101010… |
| … | …01100100000000 |
| 3 | 112002010201212201 |
| 4 | 30002221210000 |
| 5 | 403204133440 |
| 6 | 32014002544 |
| 7 | 5002102600 |
| oct | 1402514400 |
| 9 | 462121781 |
| 10 | 202021120 |
| 11 | a4043504 |
| 12 | 577a6454 |
| 13 | 32b14232 |
| 14 | 1cb8ac00 |
| 15 | 12b0819a |
| hex | c0a9900 |
202021120 has 108 divisors (see below), whose sum is σ = 563083164. Its totient is φ = 69242880.
The previous prime is 202021117. The next prime is 202021139. The reversal of 202021120 is 21120202.
202021120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 115605504 + 86415616 = 10752^2 + 9296^2 .
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 = 202021097 and 202021106.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61110 + ... + 64330.
It is an arithmetic number, because the mean of its divisors is an integer number (5213733).
Almost surely, 2202021120 is an apocalyptic number.
202021120 is a gapful number since it is divisible by the number (20) 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 202021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281541582).
202021120 is an abundant number, since it is smaller than the sum of its proper divisors (361062044).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202021120 is an equidigital number, since it uses as much as digits as its factorization.
202021120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3256 (or 3235 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 202021120 is about 14213.4133831392. The cubic root of 202021120 is about 586.7668791161.
Adding to 202021120 its reverse (21120202), we get a palindrome (223141322).
The spelling of 202021120 in words is "two hundred two million, twenty-one thousand, one hundred twenty".
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