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2301131341341 = 327219726487233
BaseRepresentation
bin100001011111000110000…
…111011011111000011101
322010222121210120222021100
4201133012013123320131
5300200204110410331
64521043010423313
7325152115446600
oct41370607337035
98128553528240
102301131341341
118079a4719628
12311b84291b39
13138cc3898311
147d537d6c337
153ecceb63ae6
hex217c61dbe1d

2301131341341 has 36 divisors (see below), whose sum is σ = 3886153998012. Its totient is φ = 1308257362944.

The previous prime is 2301131341337. The next prime is 2301131341357. The reversal of 2301131341341 is 1431431311032.

2301131341341 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 1 + 313 + 4 + 1 + 341 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1056465344025 + 1244665997316 = 1027845^2 + 1115646^2 .

It is not a de Polignac number, because 2301131341341 - 22 = 2301131341337 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301131341381) 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, 13156740 + ... + 13330493.

It is an arithmetic number, because the mean of its divisors is an integer number (107948722167).

Almost surely, 22301131341341 is an apocalyptic number.

2301131341341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2301131341341 is a deficient number, since it is larger than the sum of its proper divisors (1585022656671).

2301131341341 is a wasteful number, since it uses less digits than its factorization.

2301131341341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26487450 (or 26487440 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 2301131341341 its reverse (1431431311032), we get a palindrome (3732562652373).

The spelling of 2301131341341 in words is "two trillion, three hundred one billion, one hundred thirty-one million, three hundred forty-one thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 197 441 591 1379 1773 4137 9653 12411 28959 86877 26487233 79461699 185410631 238385097 556231893 1297874417 1668695679 3893623251 5217984901 11680869753 15653954703 36525894307 46961864109 109577682921 255681260149 328733048763 767043780447 2301131341341