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213135049 is a prime number
BaseRepresentation
bin11001011010000…
…10111011001001
3112212001101022201
430231002323021
5414030310144
633052120201
75165421661
oct1455027311
9485041281
10213135049
11aa344576
125b466061
1335205b1a
14204411a1
1513aa11d4
hexcb42ec9

213135049 has 2 divisors, whose sum is σ = 213135050. Its totient is φ = 213135048.

The previous prime is 213135019. The next prime is 213135053. The reversal of 213135049 is 940531312.

213135049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155451024 + 57684025 = 12468^2 + 7595^2 .

It is a cyclic number.

It is not a de Polignac number, because 213135049 - 217 = 213003977 is a prime.

It is a super-2 number, since 2×2131350492 = 90853098224464802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213135019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106567524 + 106567525.

It is an arithmetic number, because the mean of its divisors is an integer number (106567525).

Almost surely, 2213135049 is an apocalyptic number.

It is an amenable number.

213135049 is a deficient number, since it is larger than the sum of its proper divisors (1).

213135049 is an equidigital number, since it uses as much as digits as its factorization.

213135049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 213135049 is about 14599.1454886921. The cubic root of 213135049 is about 597.3354520831.

It can be divided in two parts, 21313 and 5049, that added together give a palindrome (26362).

The spelling of 213135049 in words is "two hundred thirteen million, one hundred thirty-five thousand, forty-nine".