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131421443330205 = 3257259601561601
BaseRepresentation
bin11101111000011011110000…
…011100100001000010011101
3122020022202201100102010022200
4131320123300130201002131
5114211202103443031310
61143302102205402113
736452612610516300
oct3570336034410235
9566282640363280
10131421443330205
1138969580678916
12128a6433569339
135843cb18a6a12
142464b90640b37
15102d8900279c0
hex7786f072109d

131421443330205 has 36 divisors (see below), whose sum is σ = 264988542882492. Its totient is φ = 60078374092800.

The previous prime is 131421443330201. The next prime is 131421443330213. The reversal of 131421443330205 is 502033344124131.

131421443330205 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 1 + 443 + 3 + 3 + 0 + 205 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83832720552441 + 47588722777764 = 9156021^2 + 6898458^2 .

It is not a de Polignac number, because 131421443330205 - 22 = 131421443330201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131421443330205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131421443330201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29800778596 + ... + 29800783005.

It is an arithmetic number, because the mean of its divisors is an integer number (7360792857847).

Almost surely, 2131421443330205 is an apocalyptic number.

131421443330205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131421443330205 is an abundant number, since it is smaller than the sum of its proper divisors (133567099552287).

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

131421443330205 is a wasteful number, since it uses less digits than its factorization.

131421443330205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59601561626 (or 59601561616 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 131421443330205 its reverse (502033344124131), we get a palindrome (633454787454336).

The spelling of 131421443330205 in words is "one hundred thirty-one trillion, four hundred twenty-one billion, four hundred forty-three million, three hundred thirty thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 59601561601 178804684803 298007808005 417210931207 536414054409 894023424015 1251632793621 2086054656035 2682070272045 2920476518449 3754898380863 6258163968105 8761429555347 14602382592245 18774491904315 26284288666041 43807147776735 131421443330205