Base | Representation |
---|---|
bin | 110000010000010110111000… |
… | …110101110001001011001000 |
3 | 1000211110000112220121111221102 |
4 | 300100112320311301023020 |
5 | 210304140143421200130 |
6 | 2031213132454400532 |
7 | 62463064115016254 |
oct | 6020267065611310 |
9 | 1024400486544842 |
10 | 212230320100040 |
11 | 61694411955270 |
12 | 1b9777a8960148 |
13 | 915630577a618 |
14 | 3a5a006455264 |
15 | 19808e71dc645 |
hex | c105b8d712c8 |
212230320100040 has 128 divisors (see below), whose sum is σ = 524423144448000. Its totient is φ = 76657667162880.
The previous prime is 212230320100039. The next prime is 212230320100129. The reversal of 212230320100040 is 40001023032212.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 212230320099985 and 212230320100021.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101766257 + ... + 103830783.
It is an arithmetic number, because the mean of its divisors is an integer number (4097055816000).
Almost surely, 2212230320100040 is an apocalyptic number.
212230320100040 is a gapful number since it is divisible by the number (20) 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 212230320100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262211572224000).
212230320100040 is an abundant number, since it is smaller than the sum of its proper divisors (312192824347960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212230320100040 is a wasteful number, since it uses less digits than its factorization.
212230320100040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2066115 (or 2066111 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
Adding to 212230320100040 its reverse (40001023032212), we get a palindrome (252231343132252).
The spelling of 212230320100040 in words is "two hundred twelve trillion, two hundred thirty billion, three hundred twenty million, one hundred thousand, forty".
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