| Base | Representation |
|---|---|
| bin | 111100100011010110… |
| … | …1000110111000000000 |
| 3 | 110102122101021001200000 |
| 4 | 1321012231012320000 |
| 5 | 4112303010424030 |
| 6 | 135423134400000 |
| 7 | 12252252243033 |
| oct | 1710655067000 |
| 9 | 412571231600 |
| 10 | 130035248640 |
| 11 | 50169564a40 |
| 12 | 21250660000 |
| 13 | c35429680b |
| 14 | 641804301a |
| 15 | 35b0ec7860 |
| hex | 1e46b46e00 |
130035248640 has 960 divisors, whose sum is σ = 526778284032. Its totient is φ = 30457036800.
The previous prime is 130035248611. The next prime is 130035248647. The reversal of 130035248640 is 46842530031.
130035248640 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 3 + 5 + 2 + 4 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-3 number, since 3×1300352486403 (a number of 34 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 130035248595 and 130035248604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130035248647) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212128974 + ... + 212129586.
Almost surely, 2130035248640 is an apocalyptic number.
130035248640 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 130035248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263389142016).
130035248640 is an abundant number, since it is smaller than the sum of its proper divisors (396743035392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130035248640 is an equidigital number, since it uses as much as digits as its factorization.
130035248640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 693 (or 665 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
Adding to 130035248640 its reverse (46842530031), we get a palindrome (176877778671).
The spelling of 130035248640 in words is "one hundred thirty billion, thirty-five million, two hundred forty-eight thousand, six hundred forty".
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