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130434433300000 = 25551304344333
BaseRepresentation
bin11101101010000100100010…
…000100000011011000100000
3122002211102001220220112110001
4131222010202010003120200
5114044014204411100000
61141224430151145344
736321401564631304
oct3552044204033040
9562742056815401
10130434433300000
1138618a291a7555
1212767097975254
1357a1bb68aa64b
14242d0bb4b1d04
151012d73dd146a
hex76a122103620

130434433300000 has 72 divisors (see below), whose sum is σ = 320970445022052. Its totient is φ = 52173773280000.

The previous prime is 130434433299943. The next prime is 130434433300007. The reversal of 130434433300000 is 3334434031.

It is a happy number.

130434433300000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 39371157326736 + 91063275973264 = 6274644^2 + 9542708^2 .

It is not an unprimeable number, because it can be changed into a prime (130434433300007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652072167 + ... + 652272166.

Almost surely, 2130434433300000 is an apocalyptic number.

130434433300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434433300000 is an abundant number, since it is smaller than the sum of its proper divisors (190536011722052).

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

130434433300000 is an frugal number, since it uses more digits than its factorization.

130434433300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304344368 (or 1304344340 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 130434433300000 its reverse (3334434031), we get a palindrome (130437767734031).

The spelling of 130434433300000 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred thirty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 1304344333 2608688666 5217377332 6521721665 10434754664 13043443330 20869509328 26086886660 32608608325 41739018656 52173773320 65217216650 104347546640 130434433300 163043041625 208695093280 260868866600 326086083250 521737733200 652172166500 815215208125 1043475466400 1304344333000 1630430416250 2608688666000 3260860832500 4076076040625 5217377332000 6521721665000 8152152081250 13043443330000 16304304162500 26086886660000 32608608325000 65217216650000 130434433300000