| Base | Representation |
|---|---|
| bin | 10111011111011001111010… |
| … | …101001110110101001110100 |
| 3 | 111112210122102121202201120101 |
| 4 | 113133121322221312221310 |
| 5 | 102020140413442130400 |
| 6 | 1003421232425243444 |
| 7 | 30522063302111533 |
| oct | 2737317251665164 |
| 9 | 445718377681511 |
| 10 | 103313201130100 |
| 11 | 2aa11978739625 |
| 12 | b70695a033584 |
| 13 | 4585515737c20 |
| 14 | 1b725581b031a |
| 15 | be263060356a |
| hex | 5df67aa76a74 |
103313201130100 has 576 divisors, whose sum is σ = 271014678325440. Its totient is φ = 33811926220800.
The previous prime is 103313201130053. The next prime is 103313201130119. The reversal of 103313201130100 is 1031102313301.
It can be written as a sum of positive squares in 96 ways, for example, as 103066921187344 + 246279942756 = 10152188^2 + 496266^2 .
It is a super-4 number, since 4×1033132011301004 (a number of 57 digits) contains 4444 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5876403310 + ... + 5876420890.
It is an arithmetic number, because the mean of its divisors is an integer number (470511594315).
Almost surely, 2103313201130100 is an apocalyptic number.
103313201130100 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 103313201130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135507339162720).
103313201130100 is an abundant number, since it is smaller than the sum of its proper divisors (167701477195340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103313201130100 is a wasteful number, since it uses less digits than its factorization.
103313201130100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17880 (or 17873 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 19.
Adding to 103313201130100 its reverse (1031102313301), we get a palindrome (104344303443401).
The spelling of 103313201130100 in words is "one hundred three trillion, three hundred thirteen billion, two hundred one million, one hundred thirty thousand, one hundred".
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