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131441013400001 = 4714932233582299
BaseRepresentation
bin11101111000101101111110…
…111010011010000111000001
3122020101122020012221200012112
4131320231332322122013001
5114212012143412300001
61143315100140105105
736454204562413334
oct3570557672320701
9566348205850175
10131441013400001
1138976903449a18
12128aa195535195
135845ab0190a86
142465ac97b061b
15102e13816bcbb
hex778b7ee9a1c1

131441013400001 has 16 divisors (see below), whose sum is σ = 135142979040000. Its totient is φ = 127776827157888.

The previous prime is 131441013399991. The next prime is 131441013400007. The reversal of 131441013400001 is 100004310144131.

It is a cyclic number.

It is not a de Polignac number, because 131441013400001 - 246 = 61072269222337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131441013400001.

It is not an unprimeable number, because it can be changed into a prime (131441013400007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225436550 + ... + 226018848.

It is an arithmetic number, because the mean of its divisors is an integer number (8446436190000).

Almost surely, 2131441013400001 is an apocalyptic number.

It is an amenable number.

131441013400001 is a deficient number, since it is larger than the sum of its proper divisors (3701965639999).

131441013400001 is a wasteful number, since it uses less digits than its factorization.

131441013400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614728.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 131441013400001 its reverse (100004310144131), we get a palindrome (231445323544132).

The spelling of 131441013400001 in words is "one hundred thirty-one trillion, four hundred forty-one billion, thirteen million, four hundred thousand, one".

Divisors: 1 47 149 7003 32233 582299 1514951 4802717 27368053 86762551 225727699 4077839897 18769243667 882154452349 2796617306383 131441013400001