| Base | Representation |
|---|---|
| bin | 1111101100011111… |
| … | …0010110000000100 |
| 3 | 101212121201212202100 |
| 4 | 3323013302300010 |
| 5 | 32112024432400 |
| 6 | 1534021512100 |
| 7 | 206255651433 |
| oct | 37307626004 |
| 9 | 11777655670 |
| 10 | 4213124100 |
| 11 | 1872220549 |
| 12 | 996b72630 |
| 13 | 521b22553 |
| 14 | 2bd79111a |
| 15 | 199d23100 |
| hex | fb1f2c04 |
4213124100 has 108 divisors (see below), whose sum is σ = 13336841700. Its totient is φ = 1112352000.
The previous prime is 4213124077. The next prime is 4213124101. The reversal of 4213124100 is 14213124.
4213124100 is a `hidden beast` number, since 421 + 3 + 1 + 241 + 0 + 0 = 666.
4213124100 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 6 ways, for example, as 1633284 + 4211490816 = 1278^2 + 64896^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (4213124101) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67726 + ... + 114074.
It is an arithmetic number, because the mean of its divisors is an integer number (123489275).
Almost surely, 24213124100 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4213124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668420850).
4213124100 is an abundant number, since it is smaller than the sum of its proper divisors (9123717600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4213124100 is a wasteful number, since it uses less digits than its factorization.
4213124100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 46470 (or 46460 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 4213124100 is about 64908.5826374294. The cubic root of 4213124100 is about 1615.1074382096.
Adding to 4213124100 its reverse (14213124), we get a palindrome (4227337224).
The spelling of 4213124100 in words is "four billion, two hundred thirteen million, one hundred twenty-four thousand, one hundred".
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