| Base | Representation |
|---|---|
| bin | 10111011111100001011110… |
| … | …001110100011001110110000 |
| 3 | 111112211102101000211121001010 |
| 4 | 113133201132032203032300 |
| 5 | 102020304022410121300 |
| 6 | 1003425053443310520 |
| 7 | 30522501324442014 |
| oct | 2737413616431660 |
| 9 | 445742330747033 |
| 10 | 103321314145200 |
| 11 | 2aa15361287988 |
| 12 | b70844307b440 |
| 13 | 45862094ca888 |
| 14 | 1b72ac7896544 |
| 15 | be29579c4a50 |
| hex | 5df85e3a33b0 |
103321314145200 has 240 divisors, whose sum is σ = 333385521960960. Its totient is φ = 27351521571840.
The previous prime is 103321314145051. The next prime is 103321314145207. The reversal of 103321314145200 is 2541413123301.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1033213141452002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is not an unprimeable number, because it can be changed into a prime (103321314145207) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2270625649 + ... + 2270671151.
It is an arithmetic number, because the mean of its divisors is an integer number (1389106341504).
Almost surely, 2103321314145200 is an apocalyptic number.
103321314145200 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 103321314145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166692760980480).
103321314145200 is an abundant number, since it is smaller than the sum of its proper divisors (230064207815760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103321314145200 is a wasteful number, since it uses less digits than its factorization.
103321314145200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59276 (or 59265 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 30.
Adding to 103321314145200 its reverse (2541413123301), we get a palindrome (105862727268501).
The spelling of 103321314145200 in words is "one hundred three trillion, three hundred twenty-one billion, three hundred fourteen million, one hundred forty-five thousand, two hundred".
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