| Base | Representation |
|---|---|
| bin | 1100011001111110100… |
| … | …0101101101011000000 |
| 3 | 202101010111210111121220 |
| 4 | 3012133220231223000 |
| 5 | 11442443200211210 |
| 6 | 241524502515040 |
| 7 | 21253413054060 |
| oct | 3063750555300 |
| 9 | 671114714556 |
| 10 | 213131647680 |
| 11 | 82430293496 |
| 12 | 35381435a80 |
| 13 | 17137a655c3 |
| 14 | a45c1193a0 |
| 15 | 582622cc70 |
| hex | 319fa2dac0 |
213131647680 has 224 divisors, whose sum is σ = 773639556096. Its totient is φ = 48698413056.
The previous prime is 213131647667. The next prime is 213131647693. The reversal of 213131647680 is 86746131312.
It is a happy number.
213131647680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (213131647667) and next prime (213131647693).
It is a tau number, because it is divible by the number of its divisors (224).
It is a Harshad number since it is a multiple of its sum of digits (42).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34114317 + ... + 34120563.
Almost surely, 2213131647680 is an apocalyptic number.
213131647680 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 213131647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386819778048).
213131647680 is an abundant number, since it is smaller than the sum of its proper divisors (560507908416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213131647680 is a wasteful number, since it uses less digits than its factorization.
213131647680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11351 (or 11341 counting only the distinct ones).
The product of its (nonzero) digits is 145152, while the sum is 42.
Adding to 213131647680 its reverse (86746131312), we get a palindrome (299877778992).
The spelling of 213131647680 in words is "two hundred thirteen billion, one hundred thirty-one million, six hundred forty-seven thousand, six hundred eighty".
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