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9144931231129 is a prime number
BaseRepresentation
bin1000010100010011100001…
…1000001010010110011001
31012101020122222111012111111
42011010320120022112121
52144312304343344004
631241042353500321
71632461630623561
oct205047030122631
935336588435444
109144931231129
112a063862aa1a1
121038422b716a1
13514495283215
1423888d1d3da1
1510cd322bda04
hex8513860a599

9144931231129 has 2 divisors, whose sum is σ = 9144931231130. Its totient is φ = 9144931231128.

The previous prime is 9144931231109. The next prime is 9144931231187. The reversal of 9144931231129 is 9211321394419.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8825937839104 + 318993392025 = 2970848^2 + 564795^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9144931231129 is a prime.

It is a super-2 number, since 2×91449312311292 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9144931231109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4572465615564 + 4572465615565.

It is an arithmetic number, because the mean of its divisors is an integer number (4572465615565).

Almost surely, 29144931231129 is an apocalyptic number.

It is an amenable number.

9144931231129 is a deficient number, since it is larger than the sum of its proper divisors (1).

9144931231129 is an equidigital number, since it uses as much as digits as its factorization.

9144931231129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 419904, while the sum is 49.

The spelling of 9144931231129 in words is "nine trillion, one hundred forty-four billion, nine hundred thirty-one million, two hundred thirty-one thousand, one hundred twenty-nine".