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13112011301121 = 321456890144569
BaseRepresentation
bin1011111011001110000011…
…0001101010000100000001
31201102111101121112012002200
42332303200301222010001
53204311344343113441
643515324055303413
72522211602062455
oct276634061520401
951374347465080
1013112011301121
1141a5855606137
12157924207ab69
137415c3a88515
143348a63a6665
1517b1181257b6
hexbece0c6a101

13112011301121 has 6 divisors (see below), whose sum is σ = 18939571879410. Its totient is φ = 8741340867408.

The previous prime is 13112011301111. The next prime is 13112011301131. The reversal of 13112011301121 is 12110311021131.

13112011301121 is a `hidden beast` number, since 1 + 311 + 20 + 11 + 301 + 1 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (13112011301111) and next prime (13112011301131).

It can be written as a sum of positive squares in only one way, i.e., 12930036538896 + 181974762225 = 3595836^2 + 426585^2 .

It is not a de Polignac number, because 13112011301121 - 215 = 13112011268353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13112011301094 and 13112011301103.

It is not an unprimeable number, because it can be changed into a prime (13112011301101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 728445072276 + ... + 728445072293.

It is an arithmetic number, because the mean of its divisors is an integer number (3156595313235).

Almost surely, 213112011301121 is an apocalyptic number.

It is an amenable number.

13112011301121 is a deficient number, since it is larger than the sum of its proper divisors (5827560578289).

13112011301121 is a wasteful number, since it uses less digits than its factorization.

13112011301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456890144575 (or 1456890144572 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13112011301121 its reverse (12110311021131), we get a palindrome (25222322322252).

The spelling of 13112011301121 in words is "thirteen trillion, one hundred twelve billion, eleven million, three hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 1456890144569 4370670433707 13112011301121