| Base | Representation |
|---|---|
| bin | 1001011000010010111111… |
| … | …1110001111001100010000 |
| 3 | 1100111220201012001222022200 |
| 4 | 2112010233332033030100 |
| 5 | 2322432031424301000 |
| 6 | 33533423034203200 |
| 7 | 2113043165600565 |
| oct | 226045776171420 |
| 9 | 40456635058280 |
| 10 | 10313021322000 |
| 11 | 3316800749261 |
| 12 | 11a6895b83500 |
| 13 | 59a68a8b2b97 |
| 14 | 27921d78a86c |
| 15 | 12d3ea866500 |
| hex | 9612ff8f310 |
10313021322000 has 960 divisors, whose sum is σ = 37662619438080. Its totient is φ = 2627873280000.
The previous prime is 10313021321951. The next prime is 10313021322001. The reversal of 10313021322000 is 22312031301.
10313021322000 is a `hidden beast` number, since 1 + 0 + 31 + 302 + 132 + 200 + 0 = 666.
10313021322000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-4 number, since 4×103130213220004 (a number of 53 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (10313021322001) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9349973449 + ... + 9349974551.
It is an arithmetic number, because the mean of its divisors is an integer number (39231895248).
Almost surely, 210313021322000 is an apocalyptic number.
10313021322000 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 10313021322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18831309719040).
10313021322000 is an abundant number, since it is smaller than the sum of its proper divisors (27349598116080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10313021322000 is a wasteful number, since it uses less digits than its factorization.
10313021322000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1409 (or 1390 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10313021322000 its reverse (22312031301), we get a palindrome (10335333353301).
The spelling of 10313021322000 in words is "ten trillion, three hundred thirteen billion, twenty-one million, three hundred twenty-two thousand".
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