Base | Representation |
---|---|
bin | 100100101010101… |
… | …0001011010100010 |
3 | 10011202001101022200 |
4 | 1021111101122202 |
5 | 10004430004442 |
6 | 322025514030 |
7 | 42326326503 |
oct | 11125213242 |
9 | 3152041280 |
10 | 1230313122 |
11 | 581530505 |
12 | 2a4042916 |
13 | 167b78b3c |
14 | b9580baa |
15 | 7302734c |
hex | 495516a2 |
1230313122 has 48 divisors (see below), whose sum is σ = 2751777600. Its totient is φ = 396972576.
The previous prime is 1230313037. The next prime is 1230313129. The reversal of 1230313122 is 2213130321.
1230313122 is a `hidden beast` number, since 1 + 230 + 313 + 122 = 666.
It is a super-3 number, since 3×12303131223 (a number of 28 digits) contains 333 as substring.
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 = 1230313095 and 1230313104.
It is not an unprimeable number, because it can be changed into a prime (1230313129) 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 23 ways as a sum of consecutive naturals, for example, 127893 + ... + 137175.
It is an arithmetic number, because the mean of its divisors is an integer number (57328700).
Almost surely, 21230313122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1230313122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375888800).
1230313122 is an abundant number, since it is smaller than the sum of its proper divisors (1521464478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1230313122 is a wasteful number, since it uses less digits than its factorization.
1230313122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9527 (or 9524 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1230313122 is about 35075.8196197894. The cubic root of 1230313122 is about 1071.5321811727.
Adding to 1230313122 its reverse (2213130321), we get a palindrome (3443443443).
It can be divided in two parts, 12303 and 13122, that added together give a triangular number (25425 = T225).
The spelling of 1230313122 in words is "one billion, two hundred thirty million, three hundred thirteen thousand, one hundred twenty-two".
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