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213376417 is a prime number
BaseRepresentation
bin11001011011111…
…01110110100001
3112212111122102021
430231331312201
5414111021132
633101221441
75200445452
oct1455756641
9485448367
10213376417
11aa499951
125b561881
133528b947
14204a5129
1513aec997
hexcb7dda1

213376417 has 2 divisors, whose sum is σ = 213376418. Its totient is φ = 213376416.

The previous prime is 213376399. The next prime is 213376421. The reversal of 213376417 is 714673312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136796416 + 76580001 = 11696^2 + 8751^2 .

It is a cyclic number.

It is not a de Polignac number, because 213376417 - 227 = 79158689 is a prime.

It is not a weakly prime, because it can be changed into another prime (213376487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106688208 + 106688209.

It is an arithmetic number, because the mean of its divisors is an integer number (106688209).

Almost surely, 2213376417 is an apocalyptic number.

It is an amenable number.

213376417 is a deficient number, since it is larger than the sum of its proper divisors (1).

213376417 is an equidigital number, since it uses as much as digits as its factorization.

213376417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 34.

The square root of 213376417 is about 14607.4096608536. The cubic root of 213376417 is about 597.5608541977.

The spelling of 213376417 in words is "two hundred thirteen million, three hundred seventy-six thousand, four hundred seventeen".