Base | Representation |
---|---|
bin | 1001001101101110011111… |
… | …1100010001001101100000 |
3 | 1022212112222101002101000002 |
4 | 2103123213330101031200 |
5 | 2311443124100020000 |
6 | 33314151222115132 |
7 | 2063654064650456 |
oct | 223334774211540 |
9 | 38775871071002 |
10 | 10131424220000 |
11 | 3256792934776 |
12 | 117765557baa8 |
13 | 58650a10b985 |
14 | 2705138129d6 |
15 | 12881cd328d5 |
hex | 936e7f11360 |
10131424220000 has 120 divisors (see below), whose sum is σ = 24927785955072. Its totient is φ = 4052088000000.
The previous prime is 10131424219963. The next prime is 10131424220003. The reversal of 10131424220000 is 2242413101.
10131424220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10131424220003) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202194950 + ... + 202245050.
Almost surely, 210131424220000 is an apocalyptic number.
10131424220000 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 10131424220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463892977536).
10131424220000 is an abundant number, since it is smaller than the sum of its proper divisors (14796361735072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10131424220000 is an equidigital number, since it uses as much as digits as its factorization.
10131424220000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 60242 (or 60219 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
Adding to 10131424220000 its reverse (2242413101), we get a palindrome (10133666633101).
The spelling of 10131424220000 in words is "ten trillion, one hundred thirty-one billion, four hundred twenty-four million, two hundred twenty thousand".
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