| Base | Representation |
|---|---|
| bin | 1001000110101010111101… |
| … | …0001100111100100011000 |
| 3 | 1022102222010001111002222122 |
| 4 | 2101222233101213210120 |
| 5 | 2303001404343243000 |
| 6 | 33142343511440412 |
| 7 | 2052133305516440 |
| oct | 221525721474430 |
| 9 | 38388101432878 |
| 10 | 10010214431000 |
| 11 | 320a343098233 |
| 12 | 1158068686108 |
| 13 | 577c613b3634 |
| 14 | 2686d594d120 |
| 15 | 1255c6a5b085 |
| hex | 91aaf467918 |
10010214431000 has 256 divisors, whose sum is σ = 28352757888000. Its totient is φ = 3229290240000.
The previous prime is 10010214430987. The next prime is 10010214431003. The reversal of 10010214431000 is 13441201001.
It is a happy number.
It is a super-2 number, since 2×100102144310002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a self number, because there is not a number n which added to its sum of digits gives 10010214431000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10010214431003) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529659551 + ... + 529678449.
It is an arithmetic number, because the mean of its divisors is an integer number (110752960500).
Almost surely, 210010214431000 is an apocalyptic number.
10010214431000 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 10010214431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176378944000).
10010214431000 is an abundant number, since it is smaller than the sum of its proper divisors (18342543457000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10010214431000 is a wasteful number, since it uses less digits than its factorization.
10010214431000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23395 (or 23381 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 17.
Adding to 10010214431000 its reverse (13441201001), we get a palindrome (10023655632001).
The spelling of 10010214431000 in words is "ten trillion, ten billion, two hundred fourteen million, four hundred thirty-one thousand".
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