Search a number
-
+
13123410224461 is a prime number
BaseRepresentation
bin1011111011111000100000…
…1101000110010101001101
31201110120211000121111021121
42332332020031012111031
53210003221004140321
643524451134000541
72523064224244225
oct276761015062515
951416730544247
1013123410224461
1141aa674a43a39
12157b4a3646151
137426bc538384
1433526823b085
1517b583c14441
hexbef8834654d

13123410224461 has 2 divisors, whose sum is σ = 13123410224462. Its totient is φ = 13123410224460.

The previous prime is 13123410224443. The next prime is 13123410224557. The reversal of 13123410224461 is 16442201432131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9423150181225 + 3700260043236 = 3069715^2 + 1923606^2 .

It is a cyclic number.

It is not a de Polignac number, because 13123410224461 - 29 = 13123410223949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13123410224401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561705112230 + 6561705112231.

It is an arithmetic number, because the mean of its divisors is an integer number (6561705112231).

Almost surely, 213123410224461 is an apocalyptic number.

It is an amenable number.

13123410224461 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123410224461 is an equidigital number, since it uses as much as digits as its factorization.

13123410224461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 13123410224461 its reverse (16442201432131), we get a palindrome (29565611656592).

The spelling of 13123410224461 in words is "thirteen trillion, one hundred twenty-three billion, four hundred ten million, two hundred twenty-four thousand, four hundred sixty-one".