Base | Representation |
---|---|
bin | 11011011011100… |
… | …01000101000000 |
3 | 121000222100122211 |
4 | 31231301011000 |
5 | 432401220222 |
6 | 34455511504 |
7 | 5462554210 |
oct | 1555610500 |
9 | 530870584 |
10 | 230101312 |
11 | 108982581 |
12 | 65088594 |
13 | 3889642c |
14 | 227ba240 |
15 | 15303277 |
hex | db71140 |
230101312 has 112 divisors (see below), whose sum is σ = 548640000. Its totient is φ = 93671424.
The previous prime is 230101303. The next prime is 230101327. The reversal of 230101312 is 213101032.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×2301013122 = 105893227568242688, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 230101292 and 230101301.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156189 + ... + 1156387.
Almost surely, 2230101312 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 230101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274320000).
230101312 is an abundant number, since it is smaller than the sum of its proper divisors (318538688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230101312 is a wasteful number, since it uses less digits than its factorization.
230101312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 336 (or 326 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 230101312 is about 15169.0906780861. The cubic root of 230101312 is about 612.7825153453.
Adding to 230101312 its reverse (213101032), we get a palindrome (443202344).
The spelling of 230101312 in words is "two hundred thirty million, one hundred one thousand, three hundred twelve".
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