| Base | Representation |
|---|---|
| bin | 1011110000111101001… |
| … | …1011000011110001000 |
| 3 | 201022201002211010000212 |
| 4 | 2330033103120132020 |
| 5 | 11302420232431440 |
| 6 | 232504105220252 |
| 7 | 20413504241204 |
| oct | 2741723303610 |
| 9 | 638632733025 |
| 10 | 202120202120 |
| 11 | 7879a648461 |
| 12 | 33209791688 |
| 13 | 160a1661445 |
| 14 | 9ad5909b04 |
| 15 | 53ce67c465 |
| hex | 2f0f4d8788 |
202120202120 has 128 divisors (see below), whose sum is σ = 477045089280. Its totient is φ = 76982400000.
The previous prime is 202120202111. The next prime is 202120202143. The reversal of 202120202120 is 21202021202.
202120202120 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-2 number, since 2×2021202021202 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 202120202095 and 202120202104.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 20409170 + ... + 20419070.
It is an arithmetic number, because the mean of its divisors is an integer number (3726914760).
Almost surely, 2202120202120 is an apocalyptic number.
202120202120 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 202120202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238522544640).
202120202120 is an abundant number, since it is smaller than the sum of its proper divisors (274924887160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202120202120 is a wasteful number, since it uses less digits than its factorization.
202120202120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10207 (or 10203 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 202120202120 its reverse (21202021202), we get a palindrome (223322223322).
The spelling of 202120202120 in words is "two hundred two billion, one hundred twenty million, two hundred two thousand, one hundred twenty".
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