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112001130013 is a prime number
BaseRepresentation
bin110100001001111001…
…0011001111000011101
3101201002112212220200111
41220103302121320131
53313334242130023
6123241432530021
711043330616513
oct1502362317035
9351075786614
10112001130013
1143554799773
1219858b50911
13a73bc7b6c6
1455c6c944b3
152da7b3000d
hex1a13c99e1d

112001130013 has 2 divisors, whose sum is σ = 112001130014. Its totient is φ = 112001130012.

The previous prime is 112001129921. The next prime is 112001130037. The reversal of 112001130013 is 310031100211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68592657604 + 43408472409 = 261902^2 + 208347^2 .

It is a cyclic number.

It is not a de Polignac number, because 112001130013 - 29 = 112001129501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112001129975 and 112001130002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112007130013) 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 as a sum of consecutive naturals, namely, 56000565006 + 56000565007.

It is an arithmetic number, because the mean of its divisors is an integer number (56000565007).

Almost surely, 2112001130013 is an apocalyptic number.

It is an amenable number.

112001130013 is a deficient number, since it is larger than the sum of its proper divisors (1).

112001130013 is an equidigital number, since it uses as much as digits as its factorization.

112001130013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 112001130013 its reverse (310031100211), we get a palindrome (422032230224).

The spelling of 112001130013 in words is "one hundred twelve billion, one million, one hundred thirty thousand, thirteen".