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131181019217 is a prime number
BaseRepresentation
bin111101000101011111…
…1111000000001010001
3110112121020020020102022
41322022333320001101
54122124320103332
6140132544301225
712322534160033
oct1721277700121
9415536206368
10131181019217
11506a72a1376
1221510311815
13c4a7781781
1464c6297c53
15362b8a0212
hex1e8aff8051

131181019217 has 2 divisors, whose sum is σ = 131181019218. Its totient is φ = 131181019216.

The previous prime is 131181019183. The next prime is 131181019223. The reversal of 131181019217 is 712910181131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68380158016 + 62800861201 = 261496^2 + 250601^2 .

It is a cyclic number.

It is not a de Polignac number, because 131181019217 - 28 = 131181018961 is a prime.

It is not a weakly prime, because it can be changed into another prime (131181019247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65590509608 + 65590509609.

It is an arithmetic number, because the mean of its divisors is an integer number (65590509609).

Almost surely, 2131181019217 is an apocalyptic number.

It is an amenable number.

131181019217 is a deficient number, since it is larger than the sum of its proper divisors (1).

131181019217 is an equidigital number, since it uses as much as digits as its factorization.

131181019217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 35.

The spelling of 131181019217 in words is "one hundred thirty-one billion, one hundred eighty-one million, nineteen thousand, two hundred seventeen".