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131906249 is a prime number
BaseRepresentation
bin1111101110010…
…11101011001001
3100012012112100122
413313023223021
5232231444444
621031113025
73161120216
oct767135311
9305175318
10131906249
1168504132
1238212775
1321435347
1413738b0d
15b8a84ee
hex7dcbac9

131906249 has 2 divisors, whose sum is σ = 131906250. Its totient is φ = 131906248.

The previous prime is 131906237. The next prime is 131906261. The reversal of 131906249 is 942609131.

It is a balanced prime because it is at equal distance from previous prime (131906237) and next prime (131906261).

It can be written as a sum of positive squares in only one way, i.e., 131905225 + 1024 = 11485^2 + 32^2 .

It is a cyclic number.

It is not a de Polignac number, because 131906249 - 24 = 131906233 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131906279) 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, 65953124 + 65953125.

It is an arithmetic number, because the mean of its divisors is an integer number (65953125).

Almost surely, 2131906249 is an apocalyptic number.

It is an amenable number.

131906249 is a deficient number, since it is larger than the sum of its proper divisors (1).

131906249 is an equidigital number, since it uses as much as digits as its factorization.

131906249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 131906249 is about 11485.0445798003. The cubic root of 131906249 is about 509.0437663317.

The spelling of 131906249 in words is "one hundred thirty-one million, nine hundred six thousand, two hundred forty-nine".