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130223320200 = 23325272346289
BaseRepresentation
bin111100101000111101…
…0100010110010001000
3110110010111011002100100
41321101322202302020
54113144132221300
6135453533405400
712260024646441
oct1712172426210
9413114132310
10130223320200
115025573a986
12212a3639860
13c38423556c
146434ddc2c8
1535c2777700
hex1e51ea2c88

130223320200 has 72 divisors (see below), whose sum is σ = 437333323050. Its totient is φ = 34726218240.

The previous prime is 130223320187. The next prime is 130223320217. The reversal of 130223320200 is 2023322031.

It is a happy number.

130223320200 is a `hidden beast` number, since 1 + 302 + 23 + 320 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 102298904964 + 27924415236 = 319842^2 + 167106^2 .

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

It is a super-2 number, since 2×1302233202002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 36171345 + ... + 36174944.

Almost surely, 2130223320200 is an apocalyptic number.

130223320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130223320200 is an abundant number, since it is smaller than the sum of its proper divisors (307110002850).

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

130223320200 is a wasteful number, since it uses less digits than its factorization.

130223320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72346311 (or 72346299 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 130223320200 its reverse (2023322031), we get a palindrome (132246642231).

The spelling of 130223320200 in words is "one hundred thirty billion, two hundred twenty-three million, three hundred 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 72346289 144692578 217038867 289385156 361731445 434077734 578770312 651116601 723462890 868155468 1085194335 1302233202 1446925780 1736310936 1808657225 2170388670 2604466404 2893851560 3255583005 3617314450 4340777340 5208932808 5425971675 6511166010 7234628900 8681554680 10851943350 13022332020 14469257800 16277915025 21703886700 26044664040 32555830050 43407773400 65111660100 130223320200