Search a number
-
+
261431333417141 is a prime number
BaseRepresentation
bin111011011100010100111001…
…110000101111000010110101
31021021122120222010100212211122
4323130110321300233002311
5233231242332323322031
62324003521354313325
7106031535103622546
oct7334247160570265
91237576863325748
10261431333417141
1176333451238808
12253a3188728845
13b2b4b3b144744
14487b4b61104cd
1520356679bc47b
hexedc539c2f0b5

261431333417141 has 2 divisors, whose sum is σ = 261431333417142. Its totient is φ = 261431333417140.

The previous prime is 261431333417099. The next prime is 261431333417281. The reversal of 261431333417141 is 141714333134162.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 227196956886916 + 34234376530225 = 15073054^2 + 5851015^2 .

It is a cyclic number.

It is not a de Polignac number, because 261431333417141 - 230 = 261430259675317 is a prime.

It is a super-2 number, since 2×2614313334171412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 261431333417092 and 261431333417101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261431333417041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130715666708570 + 130715666708571.

It is an arithmetic number, because the mean of its divisors is an integer number (130715666708571).

Almost surely, 2261431333417141 is an apocalyptic number.

It is an amenable number.

261431333417141 is a deficient number, since it is larger than the sum of its proper divisors (1).

261431333417141 is an equidigital number, since it uses as much as digits as its factorization.

261431333417141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 435456, while the sum is 44.

The spelling of 261431333417141 in words is "two hundred sixty-one trillion, four hundred thirty-one billion, three hundred thirty-three million, four hundred seventeen thousand, one hundred forty-one".