| Base | Representation |
|---|---|
| bin | 111111000000011… |
| … | …0001000110000000 |
| 3 | 12110100002221120101 |
| 4 | 1332000301012000 |
| 5 | 13312204132204 |
| 6 | 545441052144 |
| 7 | 103250545126 |
| oct | 17600610600 |
| 9 | 5410087511 |
| 10 | 2114130304 |
| 11 | 99540a430 |
| 12 | 4b0027054 |
| 13 | 278cc76a0 |
| 14 | 160ac7916 |
| 15 | c5908ea4 |
| hex | 7e031180 |
2114130304 has 128 divisors (see below), whose sum is σ = 5209344000. Its totient is φ = 840222720.
The previous prime is 2114130301. The next prime is 2114130329. The reversal of 2114130304 is 4030314112.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×21141303042 = 8939093884582264832, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (19).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2114130301) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344737 + ... + 350815.
It is an arithmetic number, because the mean of its divisors is an integer number (40698000).
Almost surely, 22114130304 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 2114130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604672000).
2114130304 is an abundant number, since it is smaller than the sum of its proper divisors (3095213696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2114130304 is a wasteful number, since it uses less digits than its factorization.
2114130304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6136 (or 6124 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
The square root of 2114130304 is about 45979.6727261080. The cubic root of 2114130304 is about 1283.4449647689. Note that the first 3 decimals are identical.
Adding to 2114130304 its reverse (4030314112), we get a palindrome (6144444416).
The spelling of 2114130304 in words is "two billion, one hundred fourteen million, one hundred thirty thousand, three hundred four".
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