| Base | Representation |
|---|---|
| bin | 1100001110011000111… |
| … | …0100010011110100000 |
| 3 | 202002002201120021202001 |
| 4 | 3003212032202132200 |
| 5 | 11420110334013440 |
| 6 | 240252102533344 |
| 7 | 21113342024500 |
| oct | 3034616423640 |
| 9 | 662081507661 |
| 10 | 210021001120 |
| 11 | 8108441a707 |
| 12 | 34853737254 |
| 13 | 16a60480638 |
| 14 | a244d4da00 |
| 15 | 56e30ceb9a |
| hex | 30e63a27a0 |
210021001120 has 288 divisors, whose sum is σ = 585825225552. Its totient is φ = 70936363008.
The previous prime is 210021001097. The next prime is 210021001121. The reversal of 210021001120 is 21100120012.
It can be written as a sum of positive squares in 8 ways, for example, as 89609225104 + 120411776016 = 299348^2 + 347004^2 .
It is a super-3 number, since 3×2100210011203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 210021001097 and 210021001106.
It is not an unprimeable number, because it can be changed into a prime (210021001121) 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 47 ways as a sum of consecutive naturals, for example, 210652462 + ... + 210653458.
Almost surely, 2210021001120 is an apocalyptic number.
210021001120 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 210021001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292912612776).
210021001120 is an abundant number, since it is smaller than the sum of its proper divisors (375804224432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210021001120 is a wasteful number, since it uses less digits than its factorization.
210021001120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1400 (or 1385 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 210021001120 its reverse (21100120012), we get a palindrome (231121121132).
The spelling of 210021001120 in words is "two hundred ten billion, twenty-one million, one thousand, one hundred twenty".
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