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211213313 is a prime number
BaseRepresentation
bin11001001011011…
…01110000000001
3112201102202012022
430211231300001
5413032311223
632543011225
75143166153
oct1445556001
9481382168
10211213313
11a9251763
125a899b15
13349b21bc
14200a0ad3
1513821ac8
hexc96dc01

211213313 has 2 divisors, whose sum is σ = 211213314. Its totient is φ = 211213312.

The previous prime is 211213297. The next prime is 211213357. The reversal of 211213313 is 313312112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183250369 + 27962944 = 13537^2 + 5288^2 .

It is a cyclic number.

It is not a de Polignac number, because 211213313 - 24 = 211213297 is a prime.

It is a super-2 number, since 2×2112133132 = 89222127176871938, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 211213291 and 211213300.

It is not a weakly prime, because it can be changed into another prime (211213363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105606656 + 105606657.

It is an arithmetic number, because the mean of its divisors is an integer number (105606657).

Almost surely, 2211213313 is an apocalyptic number.

It is an amenable number.

211213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211213313 is an equidigital number, since it uses as much as digits as its factorization.

211213313 is an evil number, because the sum of its binary digits is even.

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

The square root of 211213313 is about 14533.1797277815. The cubic root of 211213313 is about 595.5347338405.

Adding to 211213313 its reverse (313312112), we get a palindrome (524525425).

The spelling of 211213313 in words is "two hundred eleven million, two hundred thirteen thousand, three hundred thirteen".