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213131249 is a prime number
BaseRepresentation
bin11001011010000…
…01111111110001
3112212001012002222
430231001333301
5414030144444
633052050425
75165404622
oct1455017761
9485035088
10213131249
11aa341731
125b463a15
1335204186
142043da49
1513a9eeee
hexcb41ff1

213131249 has 2 divisors, whose sum is σ = 213131250. Its totient is φ = 213131248.

The previous prime is 213131209. The next prime is 213131257. The reversal of 213131249 is 942131312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207561649 + 5569600 = 14407^2 + 2360^2 .

It is a cyclic number.

It is not a de Polignac number, because 213131249 - 224 = 196354033 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213131209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106565624 + 106565625.

It is an arithmetic number, because the mean of its divisors is an integer number (106565625).

Almost surely, 2213131249 is an apocalyptic number.

It is an amenable number.

213131249 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131249 is an equidigital number, since it uses as much as digits as its factorization.

213131249 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 26.

The square root of 213131249 is about 14599.0153435086. The cubic root of 213131249 is about 597.3319020832.

The spelling of 213131249 in words is "two hundred thirteen million, one hundred thirty-one thousand, two hundred forty-nine".