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131434014144241 is a prime number
BaseRepresentation
bin11101111000100111011101…
…101110010111011011110001
3122020100222011102121122022201
4131320213131232113123301
5114211403330110103431
61143311541425503201
736453536252624014
oct3570473556273361
9566328142548281
10131434014144241
1138973941563526
12128a89614a1b01
135845236088813
142465623da937b
15102dd7894d461
hex7789ddb976f1

131434014144241 has 2 divisors, whose sum is σ = 131434014144242. Its totient is φ = 131434014144240.

The previous prime is 131434014144203. The next prime is 131434014144269. The reversal of 131434014144241 is 142441410434131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124888112362225 + 6545901782016 = 11175335^2 + 2558496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131434014144241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131434014144241.

It is not a weakly prime, because it can be changed into another prime (131434014144341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65717007072120 + 65717007072121.

It is an arithmetic number, because the mean of its divisors is an integer number (65717007072121).

Almost surely, 2131434014144241 is an apocalyptic number.

It is an amenable number.

131434014144241 is a deficient number, since it is larger than the sum of its proper divisors (1).

131434014144241 is an equidigital number, since it uses as much as digits as its factorization.

131434014144241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 131434014144241 its reverse (142441410434131), we get a palindrome (273875424578372).

The spelling of 131434014144241 in words is "one hundred thirty-one trillion, four hundred thirty-four billion, fourteen million, one hundred forty-four thousand, two hundred forty-one".