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131131244242417 is a prime number
BaseRepresentation
bin11101110100001101011111…
…001110110110010111110001
3122012022000122212122000121011
4131310031133032312113301
5114141423242011224132
61142520510104030521
736422630322130666
oct3564153716662761
9565260585560534
10131131244242417
11388674a2876a71
121285a144462441
13582281443a563
142454b01039a6d
151026057eecb47
hex77435f3b65f1

131131244242417 has 2 divisors, whose sum is σ = 131131244242418. Its totient is φ = 131131244242416.

The previous prime is 131131244242357. The next prime is 131131244242459. The reversal of 131131244242417 is 714242442131131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122116622308321 + 9014621934096 = 11050639^2 + 3002436^2 .

It is a cyclic number.

It is not a de Polignac number, because 131131244242417 - 27 = 131131244242289 is a prime.

It is a super-2 number, since 2×1311312442424172 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131131244242417.

It is not a weakly prime, because it can be changed into another prime (131131244242477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65565622121208 + 65565622121209.

It is an arithmetic number, because the mean of its divisors is an integer number (65565622121209).

Almost surely, 2131131244242417 is an apocalyptic number.

It is an amenable number.

131131244242417 is a deficient number, since it is larger than the sum of its proper divisors (1).

131131244242417 is an equidigital number, since it uses as much as digits as its factorization.

131131244242417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024, while the sum is 40.

Adding to 131131244242417 its reverse (714242442131131), we get a palindrome (845373686373548).

The spelling of 131131244242417 in words is "one hundred thirty-one trillion, one hundred thirty-one billion, two hundred forty-four million, two hundred forty-two thousand, four hundred seventeen".