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131312301440121 = 3297313480559129
BaseRepresentation
bin11101110110110110000111…
…000101001111110001111001
3122012221100000001200122110100
4131312312013011033301321
5114202410043132040441
61143140012152110013
736442000145665104
oct3566660705176171
9565840001618410
10131312301440121
113892726394945a
1212889254095309
13583690a0c7579
14245d7993d173b
15102ab03434cb6
hex776d8714fc79

131312301440121 has 24 divisors (see below), whose sum is σ = 192240952128680. Its totient is φ = 86362242011136.

The previous prime is 131312301440083. The next prime is 131312301440179. The reversal of 131312301440121 is 121044103213131.

131312301440121 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 1 + 230 + 1 + 4 + 401 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4148000248896 + 127164301191225 = 2036664^2 + 11276715^2 .

It is not a de Polignac number, because 131312301440121 - 213 = 131312301431929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131312300440121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240006316 + ... + 240552813.

Almost surely, 2131312301440121 is an apocalyptic number.

It is an amenable number.

131312301440121 is a deficient number, since it is larger than the sum of its proper divisors (60928650688559).

131312301440121 is a wasteful number, since it uses less digits than its factorization.

131312301440121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480559545 (or 480559542 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131312301440121 its reverse (121044103213131), we get a palindrome (252356404653252).

The spelling of 131312301440121 in words is "one hundred thirty-one trillion, three hundred twelve billion, three hundred one million, four hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 97 291 313 873 939 2817 30361 91083 273249 480559129 1441677387 4325032161 46614235513 139842706539 150415007377 419528119617 451245022131 1353735066393 14590255715569 43770767146707 131312301440121