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213648341 is a prime number
BaseRepresentation
bin11001011110000…
…00001111010101
3112220000110102112
430233000033111
5414143221331
633111120405
75202660314
oct1457001725
9486013375
10213648341
11aa665185
125b673105
133535564a
142053627b
1513b5332b
hexcbc03d5

213648341 has 2 divisors, whose sum is σ = 213648342. Its totient is φ = 213648340.

The previous prime is 213648319. The next prime is 213648427. The reversal of 213648341 is 143846312.

213648341 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., 210859441 + 2788900 = 14521^2 + 1670^2 .

It is a cyclic number.

It is not a de Polignac number, because 213648341 - 218 = 213386197 is a prime.

It is a super-2 number, since 2×2136483412 = 91291227224104562, 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 = 213648298 and 213648307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213648241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106824170 + 106824171.

It is an arithmetic number, because the mean of its divisors is an integer number (106824171).

Almost surely, 2213648341 is an apocalyptic number.

It is an amenable number.

213648341 is a deficient number, since it is larger than the sum of its proper divisors (1).

213648341 is an equidigital number, since it uses as much as digits as its factorization.

213648341 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13824, while the sum is 32.

The square root of 213648341 is about 14616.7144392986. The cubic root of 213648341 is about 597.8145875817.

The spelling of 213648341 in words is "two hundred thirteen million, six hundred forty-eight thousand, three hundred forty-one".