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212131013 is a prime number
BaseRepresentation
bin11001010010011…
…01110011000101
3112210011101001012
430221031303011
5413301143023
633014412005
75154040523
oct1451156305
9483141035
10212131013
11a9819196
125b061005
1334c43b13
142025d313
1513953978
hexca4dcc5

212131013 has 2 divisors, whose sum is σ = 212131014. Its totient is φ = 212131012.

The previous prime is 212131009. The next prime is 212131039. The reversal of 212131013 is 310131212.

212131013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128097124 + 84033889 = 11318^2 + 9167^2 .

It is a cyclic number.

It is not a de Polignac number, because 212131013 - 22 = 212131009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212131063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106065506 + 106065507.

It is an arithmetic number, because the mean of its divisors is an integer number (106065507).

Almost surely, 2212131013 is an apocalyptic number.

It is an amenable number.

212131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212131013 is an equidigital number, since it uses as much as digits as its factorization.

212131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 212131013 is about 14564.7180885865. The cubic root of 212131013 is about 596.3959999465.

Adding to 212131013 its reverse (310131212), we get a palindrome (522262225).

The spelling of 212131013 in words is "two hundred twelve million, one hundred thirty-one thousand, thirteen".