Base | Representation |
---|---|
bin | 10010110110101011… |
… | …10001010101001000 |
3 | 222010110000120220200 |
4 | 21123111301111020 |
5 | 131212311241303 |
6 | 4352233252200 |
7 | 505561465632 |
oct | 113325612510 |
9 | 28113016820 |
10 | 10122368328 |
11 | 43248a4166 |
12 | 1b65b64060 |
13 | c54163377 |
14 | 6c04d7a52 |
15 | 3e39d03a3 |
hex | 25b571548 |
10122368328 has 108 divisors (see below), whose sum is σ = 27973810995. Its totient is φ = 3306680160.
The previous prime is 10122368323. The next prime is 10122368329. The reversal of 10122368328 is 82386322101.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
10122368328 is a `hidden beast` number, since 101 + 223 + 6 + 8 + 328 = 666.
It can be written as a sum of positive squares in only one way, i.e., 5061184164 + 5061184164 = 71142^2 + 71142^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=71142.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10122368292 and 10122368301.
It is not an unprimeable number, because it can be changed into a prime (10122368323) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60612901 + ... + 60613067.
Almost surely, 210122368328 is an apocalyptic number.
10122368328 is a gapful number since it is divisible by the number (18) 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 10122368328
10122368328 is an abundant number, since it is smaller than the sum of its proper divisors (17851442667).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10122368328 is an equidigital number, since it uses as much as digits as its factorization.
10122368328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 488 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 10122368328 in words is "ten billion, one hundred twenty-two million, three hundred sixty-eight thousand, three hundred twenty-eight".
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