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30312064221149 is a prime number
BaseRepresentation
bin1101110010001100100111…
…10100011111111111011101
310222022210201212120201102202
412321012103310133333131
512433113101420034044
6144245100422301245
76245655131453144
oct671062364377735
9128283655521382
1030312064221149
119727302023257
123496820b87825
1313bb5527c9a49
1476b17c86675b
15378746691c4e
hex1b9193d1ffdd

30312064221149 has 2 divisors, whose sum is σ = 30312064221150. Its totient is φ = 30312064221148.

The previous prime is 30312064221133. The next prime is 30312064221209. The reversal of 30312064221149 is 94112246021303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26164964128900 + 4147100092249 = 5115170^2 + 2036443^2 .

It is a cyclic number.

It is not a de Polignac number, because 30312064221149 - 24 = 30312064221133 is a prime.

It is a super-3 number, since 3×303120642211493 (a number of 41 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 (30312064221349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15156032110574 + 15156032110575.

It is an arithmetic number, because the mean of its divisors is an integer number (15156032110575).

Almost surely, 230312064221149 is an apocalyptic number.

It is an amenable number.

30312064221149 is a deficient number, since it is larger than the sum of its proper divisors (1).

30312064221149 is an equidigital number, since it uses as much as digits as its factorization.

30312064221149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 30312064221149 in words is "thirty trillion, three hundred twelve billion, sixty-four million, two hundred twenty-one thousand, one hundred forty-nine".