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13141304030500 = 2253416011066621
BaseRepresentation
bin1011111100111011001011…
…0000100011010100100100
31201112022000001222000120121
42333032302300203110210
53210301342312434000
643541010504211324
72524266523136032
oct277166260432444
951468001860517
1013141304030500
114207217594298
121582a58169b44
137442b1766a99
14336084903552
1517bc7eae2b1a
hexbf3b2c23524

13141304030500 has 96 divisors (see below), whose sum is σ = 29449569947616. Its totient is φ = 5119776000000.

The previous prime is 13141304030467. The next prime is 13141304030513. The reversal of 13141304030500 is 503040314131.

13141304030500 is digitally balanced in base 2, 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 16 ways, for example, as 10746188747044 + 2395115283456 = 3278138^2 + 1547616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11787190 + ... + 12853810.

It is an arithmetic number, because the mean of its divisors is an integer number (306766353621).

Almost surely, 213141304030500 is an apocalyptic number.

13141304030500 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 13141304030500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14724784973808).

13141304030500 is an abundant number, since it is smaller than the sum of its proper divisors (16308265917116).

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

13141304030500 is a wasteful number, since it uses less digits than its factorization.

13141304030500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067282 (or 1067270 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13141304030500 its reverse (503040314131), we get a palindrome (13644344344631).

The spelling of 13141304030500 in words is "thirteen trillion, one hundred forty-one billion, three hundred four million, thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 164 205 250 410 500 601 820 1025 1202 2050 2404 3005 4100 5125 6010 10250 12020 15025 20500 24641 30050 49282 60100 75125 98564 123205 150250 246410 300500 492820 616025 1066621 1232050 2133242 2464100 3080125 4266484 5333105 6160250 10666210 12320500 21332420 26665525 43731461 53331050 87462922 106662100 133327625 174925844 218657305 266655250 437314610 533310500 641039221 874629220 1093286525 1282078442 2186573050 2564156884 3205196105 4373146100 5466432625 6410392210 10932865250 12820784420 16025980525 21865730500 26282608061 32051961050 52565216122 64103922100 80129902625 105130432244 131413040305 160259805250 262826080610 320519610500 525652161220 657065201525 1314130403050 2628260806100 3285326007625 6570652015250 13141304030500