| Base | Representation |
|---|---|
| bin | 110000100010000001100110… |
| … | …010011000000100111010100 |
| 3 | 1000222202002022222211120120201 |
| 4 | 300202001212103000213110 |
| 5 | 210434033123204020200 |
| 6 | 2033543001520110244 |
| 7 | 62646564324266143 |
| oct | 6042014623004724 |
| 9 | 1028662288746521 |
| 10 | 213444411001300 |
| 11 | 620122a2586aa6 |
| 12 | 1bb32b59465384 |
| 13 | 921394c45040b |
| 14 | 3a9ca9c15975a |
| 15 | 19a22a3eb4c6a |
| hex | c220664c09d4 |
213444411001300 has 144 divisors (see below), whose sum is σ = 476827410936240. Its totient is φ = 82872269475840.
The previous prime is 213444411001273. The next prime is 213444411001303. The reversal of 213444411001300 is 3100114444312.
It can be written as a sum of positive squares in 24 ways, for example, as 187993879299396 + 25450531701904 = 13711086^2 + 5044852^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213444411001303) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3446345134 + ... + 3446407066.
It is an arithmetic number, because the mean of its divisors is an integer number (3311301464835).
Almost surely, 2213444411001300 is an apocalyptic number.
213444411001300 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 213444411001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238413705468120).
213444411001300 is an abundant number, since it is smaller than the sum of its proper divisors (263382999934940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213444411001300 is a wasteful number, since it uses less digits than its factorization.
213444411001300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64190 (or 64183 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 28.
Adding to 213444411001300 its reverse (3100114444312), we get a palindrome (216544525445612).
The spelling of 213444411001300 in words is "two hundred thirteen trillion, four hundred forty-four billion, four hundred eleven million, one thousand, three hundred".
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