Base | Representation |
---|---|
bin | 1011110000100101100… |
… | …1110000111111000100 |
3 | 201022110012112220020211 |
4 | 2330021121300333010 |
5 | 11302214412241400 |
6 | 232450211405204 |
7 | 20411162653441 |
oct | 2741131607704 |
9 | 638405486224 |
10 | 202021212100 |
11 | 78749786824 |
12 | 331a05b3804 |
13 | 16086cb2576 |
14 | 9ac66dc9c8 |
15 | 53c5b26dba |
hex | 2f09670fc4 |
202021212100 has 18 divisors (see below), whose sum is σ = 438386030474. Its totient is φ = 80808484800.
The previous prime is 202021212079. The next prime is 202021212109. The reversal of 202021212100 is 1212120202.
It is a happy number.
202021212100 is digitally balanced in base 2, 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 3 ways, for example, as 23957467524 + 178063744576 = 154782^2 + 421976^2 .
It is not an unprimeable number, because it can be changed into a prime (202021212109) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010105961 + ... + 1010106160.
Almost surely, 2202021212100 is an apocalyptic number.
202021212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
202021212100 is an abundant number, since it is smaller than the sum of its proper divisors (236364818374).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202021212100 is a wasteful number, since it uses less digits than its factorization.
202021212100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2020212135 (or 2020212128 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
Adding to 202021212100 its reverse (1212120202), we get a palindrome (203233332302).
The spelling of 202021212100 in words is "two hundred two billion, twenty-one million, two hundred twelve thousand, one hundred".
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