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130011010000 = 245413001101
BaseRepresentation
bin111100100010101000…
…0101001001111010000
3110102120200122121111121
41321011100221033100
54112230304310000
6135420511052024
712251536231324
oct1710520511720
9412520577447
10130011010000
115015690a103
1221244511014
13c34c25b021
146414b33984
1535adcdab1a
hex1e454293d0

130011010000 has 50 divisors (see below), whose sum is σ = 314769680522. Its totient is φ = 52004400000.

The previous prime is 130011009979. The next prime is 130011010001. The reversal of 130011010000 is 10110031.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 98892638784 + 31118371216 = 314472^2 + 176404^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130011010001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6490551 + ... + 6510550.

Almost surely, 2130011010000 is an apocalyptic number.

130011010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130011010000 is an abundant number, since it is smaller than the sum of its proper divisors (184758670522).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130011010000 is an equidigital number, since it uses as much as digits as its factorization.

130011010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13001129 (or 13001108 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 130011010000 its reverse (10110031), we get a palindrome (130021120031).

The spelling of 130011010000 in words is "one hundred thirty billion, eleven million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 13001101 26002202 52004404 65005505 104008808 130011010 208017616 260022020 325027525 520044040 650055050 1040088080 1300110100 1625137625 2600220200 3250275250 5200440400 6500550500 8125688125 13001101000 16251376250 26002202000 32502752500 65005505000 130011010000