Base | Representation |
---|---|
bin | 1001011010110011001000… |
… | …0101000000100001011000 |
3 | 1100200000122212221100012100 |
4 | 2112230302011000201120 |
5 | 2324133100104334222 |
6 | 34005252244043400 |
7 | 2116124330231205 |
oct | 226546205004130 |
9 | 40600585840170 |
10 | 10356006324312 |
11 | 3332a59653760 |
12 | 11b3091693560 |
13 | 5a174b1c83ac |
14 | 27b33a578cac |
15 | 12e5b442d4ac |
hex | 96b32140858 |
10356006324312 has 192 divisors, whose sum is σ = 30676417200000. Its totient is φ = 3130075814400.
The previous prime is 10356006324203. The next prime is 10356006324317. The reversal of 10356006324312 is 21342360065301.
10356006324312 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 6 + 0 + 0 + 632 + 4 + 3 + 12 = 666.
It is a super-3 number, since 3×103560063243123 (a number of 40 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10356006324317) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 782110012 + ... + 782123252.
It is an arithmetic number, because the mean of its divisors is an integer number (159773006250).
Almost surely, 210356006324312 is an apocalyptic number.
10356006324312 is a gapful number since it is divisible by the number (12) 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 10356006324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15338208600000).
10356006324312 is an abundant number, since it is smaller than the sum of its proper divisors (20320410875688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10356006324312 is a wasteful number, since it uses less digits than its factorization.
10356006324312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15742 (or 15735 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
Adding to 10356006324312 its reverse (21342360065301), we get a palindrome (31698366389613).
The spelling of 10356006324312 in words is "ten trillion, three hundred fifty-six billion, six million, three hundred twenty-four thousand, three hundred twelve".
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