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131112097 is a prime number
BaseRepresentation
bin1111101000010…
…01110010100001
3100010201011222121
413310021302201
5232031041342
621002104241
73151302004
oct764116241
9303634877
10131112097
1168011506
1237aab081
1321217a2c
14135ad53b
15b79d067
hex7d09ca1

131112097 has 2 divisors, whose sum is σ = 131112098. Its totient is φ = 131112096.

The previous prime is 131112083. The next prime is 131112131. The reversal of 131112097 is 790211131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119443041 + 11669056 = 10929^2 + 3416^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131112097 is a prime.

It is not a weakly prime, because it can be changed into another prime (131112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65556048 + 65556049.

It is an arithmetic number, because the mean of its divisors is an integer number (65556049).

Almost surely, 2131112097 is an apocalyptic number.

It is an amenable number.

131112097 is a deficient number, since it is larger than the sum of its proper divisors (1).

131112097 is an equidigital number, since it uses as much as digits as its factorization.

131112097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 25.

The square root of 131112097 is about 11450.4190753003. The cubic root of 131112097 is about 508.0201298676.

The spelling of 131112097 in words is "one hundred thirty-one million, one hundred twelve thousand, ninety-seven".