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131214329 is a prime number
BaseRepresentation
bin1111101001000…
…10101111111001
3100010220101012222
413310202233321
5232042324304
621004213425
73152206031
oct764425771
9303811188
10131214329
11680812a4
1237b3a275
132125241c
14135d88c1
15b7bd4be
hex7d22bf9

131214329 has 2 divisors, whose sum is σ = 131214330. Its totient is φ = 131214328.

The previous prime is 131214277. The next prime is 131214373. The reversal of 131214329 is 923412131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67980025 + 63234304 = 8245^2 + 7952^2 .

It is an emirp because it is prime and its reverse (923412131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131214329 - 216 = 131148793 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 131214298 and 131214307.

It is not a weakly prime, because it can be changed into another prime (131214389) 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, 65607164 + 65607165.

It is an arithmetic number, because the mean of its divisors is an integer number (65607165).

Almost surely, 2131214329 is an apocalyptic number.

It is an amenable number.

131214329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131214329 is an equidigital number, since it uses as much as digits as its factorization.

131214329 is an odious number, because the sum of its binary digits is odd.

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

The square root of 131214329 is about 11454.8823215256. The cubic root of 131214329 is about 508.1521350303.

The spelling of 131214329 in words is "one hundred thirty-one million, two hundred fourteen thousand, three hundred twenty-nine".