Base | Representation |
---|---|
bin | 1001011000110001100010… |
… | …1001110000110001000000 |
3 | 1100112200212120100122012100 |
4 | 2112030120221300301000 |
5 | 2323100324310404440 |
6 | 33541300352430400 |
7 | 2113453311404262 |
oct | 226143051606100 |
9 | 40480776318170 |
10 | 10321220013120 |
11 | 331a228695245 |
12 | 11a83a3848400 |
13 | 59b3963425c3 |
14 | 27979a5b5b32 |
15 | 12d72a50d230 |
hex | 96318a70c40 |
10321220013120 has 168 divisors, whose sum is σ = 35529132015000. Its totient is φ = 2750120755200.
The previous prime is 10321220013053. The next prime is 10321220013121. The reversal of 10321220013120 is 2131002212301.
10321220013120 is a `hidden beast` number, since 1 + 0 + 321 + 220 + 0 + 1 + 3 + 120 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 10036224 + 10321209976896 = 3168^2 + 3212664^2 .
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 = 10321220013093 and 10321220013102.
It is not an unprimeable number, because it can be changed into a prime (10321220013121) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2162470 + ... + 5031770.
Almost surely, 210321220013120 is an apocalyptic number.
10321220013120 is a gapful number since it is divisible by the number (10) 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 10321220013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17764566007500).
10321220013120 is an abundant number, since it is smaller than the sum of its proper divisors (25207912001880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10321220013120 is a wasteful number, since it uses less digits than its factorization.
10321220013120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2870573 (or 2870560 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10321220013120 its reverse (2131002212301), we get a palindrome (12452222225421).
The spelling of 10321220013120 in words is "ten trillion, three hundred twenty-one billion, two hundred twenty million, thirteen thousand, one hundred twenty".
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