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11289013125301 is a prime number
BaseRepresentation
bin1010010001000110110110…
…0111100000000010110101
31110222012220201211122100101
42210101231213200002311
52434424344330002201
640002033453514101
72243414161210222
oct244215547400265
943865821748311
1011289013125301
11366270967267a
121323a777a2931
1363b71ac72572
142b0569462949
151489be51cd01
hexa446d9e00b5

11289013125301 has 2 divisors, whose sum is σ = 11289013125302. Its totient is φ = 11289013125300.

The previous prime is 11289013125287. The next prime is 11289013125337. The reversal of 11289013125301 is 10352131098211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7896690111025 + 3392323014276 = 2810105^2 + 1841826^2 .

It is a cyclic number.

It is not a de Polignac number, because 11289013125301 - 29 = 11289013124789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11289013125361) 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, 5644506562650 + 5644506562651.

It is an arithmetic number, because the mean of its divisors is an integer number (5644506562651).

Almost surely, 211289013125301 is an apocalyptic number.

It is an amenable number.

11289013125301 is a deficient number, since it is larger than the sum of its proper divisors (1).

11289013125301 is an equidigital number, since it uses as much as digits as its factorization.

11289013125301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 37.

The spelling of 11289013125301 in words is "eleven trillion, two hundred eighty-nine billion, thirteen million, one hundred twenty-five thousand, three hundred one".