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241605345337 is a prime number
BaseRepresentation
bin1110000100000011001…
…1010000000000111001
3212002121220002012210121
43201000303100000321
512424301432022322
6302554133013241
723312130356626
oct3410063200071
9762556065717
10241605345337
1193511a11a24
123a9a9184221
1319a24b59505
14b99d97534d
156440d63ec7
hex3840cd0039

241605345337 has 2 divisors, whose sum is σ = 241605345338. Its totient is φ = 241605345336.

The previous prime is 241605345307. The next prime is 241605345367. The reversal of 241605345337 is 733543506142.

It is a balanced prime because it is at equal distance from previous prime (241605345307) and next prime (241605345367).

It can be written as a sum of positive squares in only one way, i.e., 237515870736 + 4089474601 = 487356^2 + 63949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241605345337 is a prime.

It is a super-2 number, since 2×2416053453372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 241605345293 and 241605345302.

It is not a weakly prime, because it can be changed into another prime (241605345307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120802672668 + 120802672669.

It is an arithmetic number, because the mean of its divisors is an integer number (120802672669).

Almost surely, 2241605345337 is an apocalyptic number.

It is an amenable number.

241605345337 is a deficient number, since it is larger than the sum of its proper divisors (1).

241605345337 is an equidigital number, since it uses as much as digits as its factorization.

241605345337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 241605345337 in words is "two hundred forty-one billion, six hundred five million, three hundred forty-five thousand, three hundred thirty-seven".