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131300240242417 is a prime number
BaseRepresentation
bin11101110110101010111000…
…001011011011011011110001
3122012220011212111102022122021
4131312222320023123123301
5114202210343000224132
61143130255254511441
736441062232335311
oct3566527013333361
9565804774368567
10131300240242417
1138922134699074
1212886a48965581
1358357373868ac
14245cd73603441
15102a649626997
hex776ab82db6f1

131300240242417 has 2 divisors, whose sum is σ = 131300240242418. Its totient is φ = 131300240242416.

The previous prime is 131300240242291. The next prime is 131300240242597. The reversal of 131300240242417 is 714242042003131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84446708081121 + 46853532161296 = 9189489^2 + 6844964^2 .

It is a cyclic number.

It is not a de Polignac number, because 131300240242417 - 211 = 131300240240369 is a prime.

It is a super-3 number, since 3×1313002402424173 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (131300240542417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65650120121208 + 65650120121209.

It is an arithmetic number, because the mean of its divisors is an integer number (65650120121209).

Almost surely, 2131300240242417 is an apocalyptic number.

It is an amenable number.

131300240242417 is a deficient number, since it is larger than the sum of its proper divisors (1).

131300240242417 is an equidigital number, since it uses as much as digits as its factorization.

131300240242417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 131300240242417 its reverse (714242042003131), we get a palindrome (845542282245548).

The spelling of 131300240242417 in words is "one hundred thirty-one trillion, three hundred billion, two hundred forty million, two hundred forty-two thousand, four hundred seventeen".