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241240401121301 is a prime number
BaseRepresentation
bin110110110110100000101000…
…011010100001000000010101
31011122011100122100002210100022
4312312200220122201000111
5223104440320141340201
62213024151010354525
7101546021013060131
oct6666405032410025
91148140570083308
10241240401121301
116a95953034395a
122308200a28ba45
13a47bb4533867a
1443801521ac3c1
151cd533a7b441b
hexdb68286a1015

241240401121301 has 2 divisors, whose sum is σ = 241240401121302. Its totient is φ = 241240401121300.

The previous prime is 241240401121189. The next prime is 241240401121331. The reversal of 241240401121301 is 103121104042142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 219614645998801 + 21625755122500 = 14819401^2 + 4650350^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241240401121301 is a prime.

It is a super-3 number, since 3×2412404011213013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241240401121331) 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, 120620200560650 + 120620200560651.

It is an arithmetic number, because the mean of its divisors is an integer number (120620200560651).

Almost surely, 2241240401121301 is an apocalyptic number.

It is an amenable number.

241240401121301 is a deficient number, since it is larger than the sum of its proper divisors (1).

241240401121301 is an equidigital number, since it uses as much as digits as its factorization.

241240401121301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 241240401121301 its reverse (103121104042142), we get a palindrome (344361505163443).

The spelling of 241240401121301 in words is "two hundred forty-one trillion, two hundred forty billion, four hundred one million, one hundred twenty-one thousand, three hundred one".