| Base | Representation |
|---|---|
| bin | 10011011010001100… |
| … | …10100000011010000 |
| 3 | 222220012122101202000 |
| 4 | 21231012110003100 |
| 5 | 132320044244003 |
| 6 | 4441555154000 |
| 7 | 516140066151 |
| oct | 115506240320 |
| 9 | 28805571660 |
| 10 | 10420306128 |
| 11 | 4467a9a251 |
| 12 | 20298a5900 |
| 13 | ca0abb61b |
| 14 | 70bcd1928 |
| 15 | 40ec331a3 |
| hex | 26d1940d0 |
10420306128 has 160 divisors (see below), whose sum is σ = 32442923520. Its totient is φ = 3189288960.
The previous prime is 10420306121. The next prime is 10420306133. The reversal of 10420306128 is 82160302401.
10420306128 is a `hidden beast` number, since 1 + 0 + 42 + 0 + 3 + 0 + 612 + 8 = 666.
It is a super-3 number, since 3×104203061283 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10420306121) 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 31 ways as a sum of consecutive naturals, for example, 283801 + ... + 318407.
It is an arithmetic number, because the mean of its divisors is an integer number (202768272).
Almost surely, 210420306128 is an apocalyptic number.
10420306128 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 10420306128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16221461760).
10420306128 is an abundant number, since it is smaller than the sum of its proper divisors (22022617392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10420306128 is a wasteful number, since it uses less digits than its factorization.
10420306128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34682 (or 34670 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 27.
Adding to 10420306128 its reverse (82160302401), we get a palindrome (92580608529).
The spelling of 10420306128 in words is "ten billion, four hundred twenty million, three hundred six thousand, one hundred twenty-eight".
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