| Base | Representation |
|---|---|
| bin | 111110100110001… |
| … | …1100011010101000 |
| 3 | 12102101022002111120 |
| 4 | 1331030130122220 |
| 5 | 13300201222440 |
| 6 | 544231055240 |
| 7 | 103023140220 |
| oct | 17514343250 |
| 9 | 5371262446 |
| 10 | 2100414120 |
| 11 | 9886a1242 |
| 12 | 4a7511520 |
| 13 | 2762044bc |
| 14 | 15cd57080 |
| 15 | c45e9dd0 |
| hex | 7d31c6a8 |
2100414120 has 128 divisors (see below), whose sum is σ = 7369021440. Its totient is φ = 468921600.
The previous prime is 2100414049. The next prime is 2100414131. The reversal of 2100414120 is 214140012.
2100414120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×21004141203 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2100414120.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7045 + ... + 65195.
It is an arithmetic number, because the mean of its divisors is an integer number (57570480).
Almost surely, 22100414120 is an apocalyptic number.
2100414120 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 2100414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684510720).
2100414120 is an abundant number, since it is smaller than the sum of its proper divisors (5268607320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100414120 is a wasteful number, since it uses less digits than its factorization.
2100414120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58215 (or 58211 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
The square root of 2100414120 is about 45830.2751464575. The cubic root of 2100414120 is about 1280.6633361920.
Adding to 2100414120 its reverse (214140012), we get a palindrome (2314554132).
The spelling of 2100414120 in words is "two billion, one hundred million, four hundred fourteen thousand, one hundred twenty".
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