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213749149 is a prime number
BaseRepresentation
bin11001011110110…
…00110110011101
3112220012120201011
430233120312131
5414204433044
633113215221
75203560235
oct1457306635
9486176634
10213749149
11aa723999
125b701511
133538c4b3
1420560cc5
1513b73134
hexcbd8d9d

213749149 has 2 divisors, whose sum is σ = 213749150. Its totient is φ = 213749148.

The previous prime is 213749147. The next prime is 213749191. The reversal of 213749149 is 941947312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206496900 + 7252249 = 14370^2 + 2693^2 .

It is a cyclic number.

It is not a de Polignac number, because 213749149 - 21 = 213749147 is a prime.

Together with 213749147, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213749147) 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, 106874574 + 106874575.

It is an arithmetic number, because the mean of its divisors is an integer number (106874575).

Almost surely, 2213749149 is an apocalyptic number.

It is an amenable number.

213749149 is a deficient number, since it is larger than the sum of its proper divisors (1).

213749149 is an equidigital number, since it uses as much as digits as its factorization.

213749149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54432, while the sum is 40.

The square root of 213749149 is about 14620.1624135986. The cubic root of 213749149 is about 597.9085972312.

The spelling of 213749149 in words is "two hundred thirteen million, seven hundred forty-nine thousand, one hundred forty-nine".