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130010020200 = 23325272227789
BaseRepresentation
bin111100100010100110…
…0110111100101101000
3110102120121210022202100
41321011030313211220
54112230031121300
6135420433533400
712251524636524
oct1710514674550
9412517708670
10130010020200
11501562a3495
1221244114260
13c34bca2648
146414956d84
1535adb92700
hex1e45337968

130010020200 has 72 divisors (see below), whose sum is σ = 436616990550. Its totient is φ = 34669338240.

The previous prime is 130010020193. The next prime is 130010020219. The reversal of 130010020200 is 2020010031.

It is a happy number.

130010020200 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 3 ways, for example, as 115576881156 + 14433139044 = 339966^2 + 120138^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36112095 + ... + 36115694.

Almost surely, 2130010020200 is an apocalyptic number.

130010020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130010020200 is an abundant number, since it is smaller than the sum of its proper divisors (306606970350).

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

130010020200 is a wasteful number, since it uses less digits than its factorization.

130010020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72227811 (or 72227799 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 130010020200 its reverse (2020010031), we get a palindrome (132030030231).

The spelling of 130010020200 in words is "one hundred thirty billion, ten million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 72227789 144455578 216683367 288911156 361138945 433366734 577822312 650050101 722277890 866733468 1083416835 1300100202 1444555780 1733466936 1805694725 2166833670 2600200404 2889111560 3250250505 3611389450 4333667340 5200400808 5417084175 6500501010 7222778900 8667334680 10834168350 13001002020 14445557800 16251252525 21668336700 26002004040 32502505050 43336673400 65005010100 130010020200