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2541140315401 is a prime number
BaseRepresentation
bin100100111110100111110…
…001000000110100001001
322222221010102211010100211
4210332213301000310021
5313113223410043101
65223214520001121
7351406553202052
oct44764761006411
98887112733324
102541140315401
1189a767508146
123505a69001a1
13155822a8c62c
148adc58b5729
154617a793c51
hex24fa7c40d09

2541140315401 has 2 divisors, whose sum is σ = 2541140315402. Its totient is φ = 2541140315400.

The previous prime is 2541140315353. The next prime is 2541140315407. The reversal of 2541140315401 is 1045130411452.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2114476607376 + 426663708025 = 1454124^2 + 653195^2 .

It is a cyclic number.

It is not a de Polignac number, because 2541140315401 - 241 = 342117059849 is a prime.

It is not a weakly prime, because it can be changed into another prime (2541140315407) 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, 1270570157700 + 1270570157701.

It is an arithmetic number, because the mean of its divisors is an integer number (1270570157701).

Almost surely, 22541140315401 is an apocalyptic number.

It is an amenable number.

2541140315401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2541140315401 is an equidigital number, since it uses as much as digits as its factorization.

2541140315401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 2541140315401 its reverse (1045130411452), we get a palindrome (3586270726853).

The spelling of 2541140315401 in words is "two trillion, five hundred forty-one billion, one hundred forty million, three hundred fifteen thousand, four hundred one".