| Base | Representation |
|---|---|
| bin | 11001011001011… |
| … | …00111110000000 |
| 3 | 112211212210222000 |
| 4 | 30230230332000 |
| 5 | 414014420440 |
| 6 | 33050144000 |
| 7 | 5164565541 |
| oct | 1454547600 |
| 9 | 484783860 |
| 10 | 213045120 |
| 11 | aa292a52 |
| 12 | 5b422000 |
| 13 | 351a3c02 |
| 14 | 2041a4c8 |
| 15 | 13a84730 |
| hex | cb2cf80 |
213045120 has 128 divisors (see below), whose sum is σ = 754596000. Its totient is φ = 56807424.
The previous prime is 213045103. The next prime is 213045121. The reversal of 213045120 is 21540312.
213045120 is a `hidden beast` number, since 213 + 0 + 451 + 2 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 213045093 and 213045102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213045121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11116 + ... + 23444.
Almost surely, 2213045120 is an apocalyptic number.
213045120 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 213045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377298000).
213045120 is an abundant number, since it is smaller than the sum of its proper divisors (541550880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213045120 is a wasteful number, since it uses less digits than its factorization.
213045120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12357 (or 12339 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 213045120 is about 14596.0652232031. The cubic root of 213045120 is about 597.2514281477.
Adding to 213045120 its reverse (21540312), we get a palindrome (234585432).
The spelling of 213045120 in words is "two hundred thirteen million, forty-five thousand, one hundred twenty".
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