| Base | Representation |
|---|---|
| bin | 111100100110000110… |
| … | …1100000010100000000 |
| 3 | 110102212211002101200000 |
| 4 | 1321030031200110000 |
| 5 | 4113000133040040 |
| 6 | 135440234400000 |
| 7 | 12254453404152 |
| oct | 1711415402400 |
| 9 | 412784071600 |
| 10 | 130127627520 |
| 11 | 50206720620 |
| 12 | 21277590000 |
| 13 | c36a46c487 |
| 14 | 642640cad2 |
| 15 | 35b9174130 |
| hex | 1e4c360500 |
130127627520 has 864 divisors, whose sum is σ = 517317300864. Its totient is φ = 31054233600.
The previous prime is 130127627507. The next prime is 130127627527. The reversal of 130127627520 is 25726721031.
130127627520 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 7 + 627 + 5 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×1301276275202 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (130127627527) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249764860 + ... + 249765380.
It is an arithmetic number, because the mean of its divisors is an integer number (598746876).
Almost surely, 2130127627520 is an apocalyptic number.
130127627520 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 130127627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258658650432).
130127627520 is an abundant number, since it is smaller than the sum of its proper divisors (387189673344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130127627520 is an equidigital number, since it uses as much as digits as its factorization.
130127627520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 641 (or 615 counting only the distinct ones).
The product of its (nonzero) digits is 35280, while the sum is 36.
The spelling of 130127627520 in words is "one hundred thirty billion, one hundred twenty-seven million, six hundred twenty-seven thousand, five hundred twenty".
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