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212113313 is a prime number
BaseRepresentation
bin11001010010010…
…01011110100001
3112210010110202122
430221021132201
5413300111223
633014154025
75153635106
oct1451113641
9483113678
10212113313
11a9806965
125b052915
1334c38a49
1420256aad
151394d5c8
hexca497a1

212113313 has 2 divisors, whose sum is σ = 212113314. Its totient is φ = 212113312.

The previous prime is 212113309. The next prime is 212113327. The reversal of 212113313 is 313311212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 209902144 + 2211169 = 14488^2 + 1487^2 .

It is a cyclic number.

It is not a de Polignac number, because 212113313 - 22 = 212113309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212113291 and 212113300.

It is not a weakly prime, because it can be changed into another prime (212113333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106056656 + 106056657.

It is an arithmetic number, because the mean of its divisors is an integer number (106056657).

Almost surely, 2212113313 is an apocalyptic number.

It is an amenable number.

212113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212113313 is an equidigital number, since it uses as much as digits as its factorization.

212113313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 108, while the sum is 17.

The square root of 212113313 is about 14564.1104431407. The cubic root of 212113313 is about 596.3794119228.

Adding to 212113313 its reverse (313311212), we get a palindrome (525424525).

The spelling of 212113313 in words is "two hundred twelve million, one hundred thirteen thousand, three hundred thirteen".