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12045612101 is a prime number
BaseRepresentation
bin10110011011111100…
…10111010001000101
31011002110221111101112
423031332113101011
5144132134041401
65311135134405
7604334004425
oct131576272105
934073844345
1012045612101
115121485726
122402074405
13119c744933
14823ad2485
154a77803bb
hex2cdf97445

12045612101 has 2 divisors, whose sum is σ = 12045612102. Its totient is φ = 12045612100.

The previous prime is 12045612037. The next prime is 12045612151. The reversal of 12045612101 is 10121654021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11910448225 + 135163876 = 109135^2 + 11626^2 .

It is a cyclic number.

It is not a de Polignac number, because 12045612101 - 26 = 12045612037 is a prime.

It is a super-3 number, since 3×120456121013 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12045612151) 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, 6022806050 + 6022806051.

It is an arithmetic number, because the mean of its divisors is an integer number (6022806051).

Almost surely, 212045612101 is an apocalyptic number.

It is an amenable number.

12045612101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12045612101 is an equidigital number, since it uses as much as digits as its factorization.

12045612101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 23.

The spelling of 12045612101 in words is "twelve billion, forty-five million, six hundred twelve thousand, one hundred one".