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113212212013 is a prime number
BaseRepresentation
bin110100101101111111…
…0010100001100101101
3101211012221202020212101
41221123332110030231
53323324311241023
6124001534335101
711115334632025
oct1513376241455
9354187666771
10113212212013
114401638458a
1219b3665a491
13a8a2b53084
14569da6aa85
152e291091ad
hex1a5bf9432d

113212212013 has 2 divisors, whose sum is σ = 113212212014. Its totient is φ = 113212212012.

The previous prime is 113212211999. The next prime is 113212212041. The reversal of 113212212013 is 310212212311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70385151204 + 42827060809 = 265302^2 + 206947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113212212013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113212212053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56606106006 + 56606106007.

It is an arithmetic number, because the mean of its divisors is an integer number (56606106007).

Almost surely, 2113212212013 is an apocalyptic number.

It is an amenable number.

113212212013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113212212013 is an equidigital number, since it uses as much as digits as its factorization.

113212212013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 113212212013 its reverse (310212212311), we get a palindrome (423424424324).

The spelling of 113212212013 in words is "one hundred thirteen billion, two hundred twelve million, two hundred twelve thousand, thirteen".