Base | Representation |
---|---|
bin | 10011001110011001… |
… | …01011110101101010 |
3 | 222122022101000212200 |
4 | 21213030223311222 |
5 | 132114224010010 |
6 | 4424101321030 |
7 | 513525466632 |
oct | 114714536552 |
9 | 28568330780 |
10 | 10321313130 |
11 | 4417126357 |
12 | 2000706176 |
13 | c8643b29b |
14 | 6dcac36c2 |
15 | 4061cbcc0 |
hex | 26732bd6a |
10321313130 has 48 divisors (see below), whose sum is σ = 27112090824. Its totient is φ = 2723973120.
The previous prime is 10321313111. The next prime is 10321313131. The reversal of 10321313130 is 3131312301.
It is a happy number.
10321313130 is a `hidden beast` number, since 1 + 0 + 321 + 31 + 313 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 10009402209 + 311910921 = 100047^2 + 17661^2 .
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 (10321313131) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582411 + ... + 599870.
Almost surely, 210321313130 is an apocalyptic number.
10321313130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
10321313130 is an abundant number, since it is smaller than the sum of its proper divisors (16790777694).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10321313130 is a wasteful number, since it uses less digits than its factorization.
10321313130 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1182391 (or 1182388 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 10321313130 its reverse (3131312301), we get a palindrome (13452625431).
The spelling of 10321313130 in words is "ten billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred thirty".
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