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131300121200 = 24524710169149
BaseRepresentation
bin111101001001000011…
…0001101101001110000
3110112220112100020121212
41322102012031221300
54122400312334300
6140152441135252
712325511421113
oct1722206155160
9415815306555
10131300121200
115075854a466
122154418a528
13c4c6352a11
1464d801c57a
153637079935
hex1e9218da70

131300121200 has 120 divisors (see below), whose sum is σ = 325354622400. Its totient is φ = 50892928000.

The previous prime is 131300121157. The next prime is 131300121203. The reversal of 131300121200 is 2121003131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131300121203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1864226 + ... + 1933374.

It is an arithmetic number, because the mean of its divisors is an integer number (2711288520).

Almost surely, 2131300121200 is an apocalyptic number.

131300121200 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 131300121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162677311200).

131300121200 is an abundant number, since it is smaller than the sum of its proper divisors (194054501200).

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

131300121200 is a wasteful number, since it uses less digits than its factorization.

131300121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69315 (or 69304 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 131300121200 its reverse (2121003131), we get a palindrome (133421124331).

The spelling of 131300121200 in words is "one hundred thirty-one billion, three hundred million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 101 188 200 202 235 376 400 404 470 505 752 808 940 1010 1175 1616 1880 2020 2350 2525 3760 4040 4700 4747 5050 8080 9400 9494 10100 18800 18988 20200 23735 37976 40400 47470 69149 75952 94940 118675 138298 189880 237350 276596 345745 379760 474700 553192 691490 949400 1106384 1382980 1728725 1898800 2765960 3250003 3457450 5531920 6500006 6914900 6984049 13000012 13829800 13968098 16250015 26000024 27659600 27936196 32500030 34920245 52000048 55872392 65000060 69840490 81250075 111744784 130000120 139680980 162500150 174601225 260000240 279361960 325000300 328250303 349202450 558723920 650000600 656500606 698404900 1300001200 1313001212 1396809800 1641251515 2626002424 2793619600 3282503030 5252004848 6565006060 8206257575 13130012120 16412515150 26260024240 32825030300 65650060600 131300121200